2656615644 has 240 divisors, whose sum is σ = 7903526400. Its totient is φ = 773587584.

The previous prime is 2656615627. The next prime is 2656615657. The reversal of 2656615644 is 4465166562.

2656615644 is a `hidden beast` number, since 26 + 5 + 6 + 61 + 564 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2656615644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4105729 + ... + 4106375.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^2656615644 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 2656615644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951763200).

2656615644 is an abundant number, since it is smaller than the sum of its proper divisors (5246910756).

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

2656615644 is a wasteful number, since it uses less digits than its factorization.

2656615644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2656615644 is about 51542.3674659983. The cubic root of 2656615644 is about 1384.9781077139.

The spelling of 2656615644 in words is "two billion, six hundred fifty-six million, six hundred fifteen thousand, six hundred forty-four".