General fact: 580 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 580 is the 6^{th} central quadrinomial coefficient.
Trivia: 580 is an uninteresting number.
Historical date: August 2nd is the day in 1939 that Albert Einstein and Leó Szilárd write a letter to Franklin D. Roosevelt, urging him to begin the Manhattan project to develop a nuclear weapon.