2766877568 has 256 divisors, whose sum is σ = 7310217600. Its totient is φ = 1012137984.

The previous prime is 2766877549. The next prime is 2766877637. The reversal of 2766877568 is 8657786672.

It is a super-2 number, since 2×2766877568² = 15311222952603189248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2766877568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17623346 + ... + 17623502.

Almost surely, 2^2766877568 is an apocalyptic number.

2766877568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655108800).

2766877568 is an abundant number, since it is smaller than the sum of its proper divisors (4543340032).

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

2766877568 is a wasteful number, since it uses less digits than its factorization.

2766877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 62.

The square root of 2766877568 is about 52601.1175546680. The cubic root of 2766877568 is about 1403.8799798920.

The spelling of 2766877568 in words is "two billion, seven hundred sixty-six million, eight hundred seventy-seven thousand, five hundred sixty-eight".