2793664656 has 120 divisors (see below), whose sum is σ = 8109391680. Its totient is φ = 896732928.

The previous prime is 2793664607. The next prime is 2793664693. The reversal of 2793664656 is 6564663972.

2793664656 is a `hidden beast` number, since 279 + 366 + 4 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283661 + ... + 2284883.

It is an arithmetic number, because the mean of its divisors is an integer number (67578264).

Almost surely, 2^2793664656 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 2793664656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054695840).

2793664656 is an abundant number, since it is smaller than the sum of its proper divisors (5315727024).

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

2793664656 is a wasteful number, since it uses less digits than its factorization.

2793664656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 2793664656 is about 52855.1289469622. The cubic root of 2793664656 is about 1408.3959183824.

The spelling of 2793664656 in words is "two billion, seven hundred ninety-three million, six hundred sixty-four thousand, six hundred fifty-six".