Factual error: Basic physics - Hancock throws Michel from a dead stop to above cloud level in about eleven seconds. The clouds are bog standard cumulus which form at around 7,000 metres in temperate zones. This means that Michel accelerates to about 700 metres per second instantly, from a dead stop. Obviously he cannot accelerate during his ascent, so his starting speed has to be at least that. (In fact he would have to start his ascent much, much faster than 700 metres per second as he would be constantly decelerating due to gravity and air resistance, but it will do as a start point.) Michel accelerates from 0 to 2,520 kilometres per hour - twice the speed of sound - in zero seconds. He would be accelerating at around 5000 Gs, turning him into a very long streak of fine, pink mist.
Continuity mistake: In an early part of the movie, Francis Tierney, Sr. is standing in front of a paper towel dispenser in a restroom with his son, Ray Tierney. The dispenser, which is visible over Francis Tierney's right shoulder, is at first full of paper towels, then empty, then full again. The paper towels are at first sticking out of the bottom of the dispenser, then they vanish.
Plot hole: The FBI in the movie has the ability to "blackhole" an IP address, which makes that computer unavailable to the internet. If they can blackhole the computer acting as the web server, they could also blackhole the computer acting as the name server (DNS), thereby taking down the web site and preventing additional users from connecting.
Continuity mistake: When the barman pulls Ken a fresh pint, the pint is placed on the bar and the glass is not entirely full. The camera changes angle and the glass is now full.
Factual error: In the film, Sgt. Jack Lupino is depicted as a United States Marine Corp Sargent. However, when Max is watching an interview with Lupino it shows him wearing either a Gunnery Sargent or Master Sargent chevrons. Not only that, but the chevrons happen to be upside down. No US Marine would ever make a mistake like that.
Factual error: In the scenes of the world, when they show the plane flying between destinations, the location of Dublin in Ireland should be at least 50 miles further north along the coastline, as Dublin is not on the south coast of Ireland.