Factual error: The movie seems utterly ignorant of the 25th Amendment. According to the 25th Amendment, the VP and a majority of the cabinet can declare the president incapacitated if he is not in a position to do so himself, such as the coma Trumball was in. This is a textbook example of why that provision of the amendment was implemented. Yet the movie goes straight from the doctors saying Trumball was in a coma to showing the VP being sworn in as acting president (which is a dubious movie/TV trope on its own). Granted, maybe the implementation of the 25th amendment happened offscreen somehow. But later, an advisor says there's no precedent for a president to resume power from an acting VP. The 25th Amendment actually spells this out - the president submits a written declaration to Congress that he is fit to serve. And there is precedent for this, as both Reagan and Bush43 stepped down temporarily for medical procedures and resumed power shortly after.
Continuity mistake: When Butler resigned he put his badge on the President's desk but when the President walks around the desk it has disappeared. (01:44:42)
Factual error: In several scenes, in particular directly after they kill the FBI agents, several vehicles leave, as viewed from the front. The license plates show them registered in Pennsylvania, however Pennsylvania does not have front license plates. (01:19:09)
Factual error: The film is meant to be set in the US, but towards the very end of the film where Clay Banning is talking to Mike's wife, behind him there is a British plug socket on the wall at the bottom of the stairs.
Factual error: The oath of office is not administered to the vice president when he serves as acting president in the event of the temporary disability of the president.
Factual error: As Mike is turning into hospital in the Ford Explorer it's clear the film was shot in Europe because all the other vehicles especially FH Volvo trucks (which don't exist in the US) were European.