2604642656 has 96 divisors (see below), whose sum is σ = 6613850880. Its totient is φ = 979776000.

The previous prime is 2604642611. The next prime is 2604642697. The reversal of 2604642656 is 6562464062.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53231 + ... + 89681.

It is an arithmetic number, because the mean of its divisors is an integer number (68894280).

Almost surely, 2^2604642656 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 2604642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306925440).

2604642656 is an abundant number, since it is smaller than the sum of its proper divisors (4009208224).

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

2604642656 is a wasteful number, since it uses less digits than its factorization.

2604642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36508 (or 36500 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The square root of 2604642656 is about 51035.6998188523. The cubic root of 2604642656 is about 1375.8868383142.

The spelling of 2604642656 in words is "two billion, six hundred four million, six hundred forty-two thousand, six hundred fifty-six".