Continuity mistake: At the end of National Treasure 1, Riley has a Ferrari 360 Spider. At the beginning of Book of Secrets, when his car is being towed away, it's a Ferrari F430 Spider. At the end of the movie, he is given back a 360 Spider.
Other mistake: There's a scene where they turn a wheel to control the flow of water into a much larger chamber. The cavern that is presumably completely filled with water (water is dripping off the ceiling) is massive. The flow from the smaller chamber into the cavern is relatively small. They enter moments after stopping the flow to find the cavern is drained. It should A) either take the cavern a very long time to drain or B) the cavern should never have been fully filled with water.
Factual error: After Ben kidnaps the President he calls and tells Riley to meet him at the Library of Congress in ten minutes. Traveling from Mount Vernon to the Library of Congress in ten minutes is NOT possible. Even in the middle of the night with no traffic it would take a MINIMUM of 30 minutes to make that trip.
Continuity mistake: When Ben Gates and company first examine the Booth diary page, they notice a few of the digraphs relevant to the cipher. After he says to flip the page, pause it and notice the digraphs that are visible. They are: ME IK QO CQ TE ZX. Later, when Ben discovers that the key to decoding the cipher is DEATH, Riley inputs the keyword into his computer. Pause it when it shows his computer screen. The various digraphs that they have input are nowhere close to the ones they discovered on the page. They are: QF JU WJ AK EH. Not even the same amount of digraphs, no less. The results are larger too. The entire interface is different for the two shots.
Factual error: While the group was in the gold cave, Riley helps himself to one of the gold bricks, which is larger than a "standard" gold brick, and is roughly three inches thick, eight inches wide, and about twelve inches long. A brick of gold this size would weigh around 250 pounds, which would make it nearly impossible for Riley to carry around, even in a backpack. Even if it were ten carat gold in the brick, it would still weigh over 100 pounds.
Factual error: When reviewing the picture having been caught driving through the traffic camera in London, the speed the car was travelling at is displayed in km/h. In the United Kingdom speed limits and fines are in miles.
Continuity mistake: When Ben and Abigail are examining the Resolute desk at Buckingham Palace, Ben starts opening the drawers and discovers the code option numbers on the underside of the drawers for the first time. When he does this, in the shots of the underside of the drawer, Ben is pulling the drawers out almost all the way, but in the shots from above, he is barely pulling the drawers out at all.
Continuity mistake: In the final scene of the movie, when Riley is walking toward his car, he walks approx 30 feet from behind the car up to the car, notice that there are no other cars behind him. As soon as he starts the car he accidentally goes in reverse and we hear him crash into another car, yet there was no one behind him for at least 30 feet. We did not see or hear another car pull in behind him in that few seconds. There is no car parked behind him.
Factual error: In the scene where Ben and Abigail are using the service lift to get to a different floor in Buckingham Palace, Ben presses the button on the exterior, then shuts the door. This is inaccurate as, with that type of lift, pressing the buttons when the doors are open does nothing. The lift can only move if the doors are closed when the buttons are pressed.
Continuity mistake: Mitch Wilkinson jumps to a hanging ladder in the hidden chamber at Mount Rushmore, the first shot shows him hanging off the ladder with a pistol holster through his belt loops. The shot cuts away and when it returns there is no pistol holster where there was seconds earlier.
Revealing mistake: In the scenes where Riley is using his computer to look up information on the "SearchInfo" site, the screenshot used is of Wikipedia. (You can even see the "About Wikipedia" link on the left).
Factual error: When the group comes to Mount Rushmore, they arrive at a lake. There is no lake close to Mount Rushmore (look at Google Maps, the lake used is Sylvan Lake, which is a good 15 miles away from Mount Rushmore). Mount Rushmore is suppose to be a "cover up" for the final treasure and that would make the chamber underneath the faces itself.