2656513152 has 128 divisors (see below), whose sum is σ = 7876440000. Its totient is φ = 881436672.

The previous prime is 2656513147. The next prime is 2656513157. The reversal of 2656513152 is 2513156562.

It is an interprime number because it is at equal distance from previous prime (2656513147) and next prime (2656513157).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2656513157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803599 + ... + 806897.

Almost surely, 2^2656513152 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 2656513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938220000).

2656513152 is an abundant number, since it is smaller than the sum of its proper divisors (5219926848).

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

2656513152 is a wasteful number, since it uses less digits than its factorization.

2656513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3537 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2656513152 is about 51541.3732063863. The cubic root of 2656513152 is about 1384.9602967066.

The spelling of 2656513152 in words is "two billion, six hundred fifty-six million, five hundred thirteen thousand, one hundred fifty-two".