2776913680 has 40 divisors (see below), whose sum is σ = 6472186200. Its totient is φ = 1108036608.

The previous prime is 2776913627. The next prime is 2776913719. The reversal of 2776913680 is 863196772.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1389500176 + 1387413504 = 37276^2 + 37248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2776913680² = 15422499172342284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9715 + ... + 75154.

It is an arithmetic number, because the mean of its divisors is an integer number (161804655).

Almost surely, 2^2776913680 is an apocalyptic number.

2776913680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2776913680 is an abundant number, since it is smaller than the sum of its proper divisors (3695272520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2776913680 is a wasteful number, since it uses less digits than its factorization.

2776913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85291 (or 85285 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 2776913680 is about 52696.4294805635. The cubic root of 2776913680 is about 1405.5753320610.

The spelling of 2776913680 in words is "two billion, seven hundred seventy-six million, nine hundred thirteen thousand, six hundred eighty".