2656874688 has 168 divisors, whose sum is σ = 7821247248. Its totient is φ = 795045888.

The previous prime is 2656874687. The next prime is 2656874707. The reversal of 2656874688 is 8864786562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656874687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199470 + ... + 1201682.

Almost surely, 2^2656874688 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 2656874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910623624).

2656874688 is an abundant number, since it is smaller than the sum of its proper divisors (5164372560).

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

2656874688 is a wasteful number, since it uses less digits than its factorization.

2656874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2268 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The square root of 2656874688 is about 51544.8803277299. The cubic root of 2656874688 is about 1385.0231222056.

It can be divided in two parts, 2656874 and 688, that added together give a palindrome (2657562).

The spelling of 2656874688 in words is "two billion, six hundred fifty-six million, eight hundred seventy-four thousand, six hundred eighty-eight".