Factual error: Whenever Ivan the Terrible summons his guards he says "streltsy" which actually translates to "archers".
Suggested correction: Streltsy translates to "shooter", but they were an elite unit of the military and part of their duties included being personal bodyguards of the tsar.
Factual error: The combination is set to a high-decimal count of Pi (3.14159265), but pi wasn't calculated to that precision until the 15th century. The Egyptians did have a rough estimate of pi, but not that good.
Continuity mistake: On his horse, Teddy Roosevelt greets Larry and extends his hand as Larry enters the scene and extends his. A quick cut to Teddy's point of view and Larry walks up and extends his hand again.
Continuity mistake: In the conclusion of the Brandon scene, as Larry is leaving, Brandon is shown in the background trying out the flashlight moves Larry had just done. As he does this, Brandon is walking toward the left in this shot, just beyond the Kahmunrah gate exhibit sign. The next shot is of Larry and the stolen guard pass. When they flash back to Brandon, he is walking in the same direction, but has not yet passed the sign. The order of the shots was simply mixed up.