4000

In-universe

 * Unknown date
 * Fry and Michelle freeze themselves in the year 3000 for a thousand years and thaw out believing that they are in this year, but the timer was actually set for 2 days and shipped to LA while they were inside.
 * The TV show Futurella was going to be set in this year.
 * The second garbage ball is expected to hit Earth by this year.