2772151056 has 120 divisors (see below), whose sum is σ = 7899251360. Its totient is φ = 907365888.

The previous prime is 2772151033. The next prime is 2772151073. The reversal of 2772151056 is 6501512772.

2772151056 is a `hidden beast` number, since 2 + 77 + 21 + 510 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2772151056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226755 + ... + 3227613.

Almost surely, 2^2772151056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772151056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949625680).

2772151056 is an abundant number, since it is smaller than the sum of its proper divisors (5127100304).

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

2772151056 is a wasteful number, since it uses less digits than its factorization.

2772151056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 2772151056 is about 52651.2208405465. The cubic root of 2772151056 is about 1404.7713150510.

The spelling of 2772151056 in words is "two billion, seven hundred seventy-two million, one hundred fifty-one thousand, fifty-six".