General fact: 2771 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 2771 is an unremarkable number.
Trivia: 2771 is an uninteresting number.
Historical date: August 2nd is the day in 1610 that Henry Hudson sails into what is now known as Hudson Bay thinking he had made it through the Northwest Passage and reached the Pacific Ocean.