2552362656 has 96 divisors (see below), whose sum is σ = 6907965120. Its totient is φ = 824776704.

The previous prime is 2552362633. The next prime is 2552362669. The reversal of 2552362656 is 6562632552.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 410386 + ... + 416558.

It is an arithmetic number, because the mean of its divisors is an integer number (71957970).

Almost surely, 2^2552362656 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 2552362656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453982560).

2552362656 is an abundant number, since it is smaller than the sum of its proper divisors (4355602464).

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

2552362656 is a wasteful number, since it uses less digits than its factorization.

2552362656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6310 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The square root of 2552362656 is about 50520.9130558821. The cubic root of 2552362656 is about 1366.6190195035.

The spelling of 2552362656 in words is "two billion, five hundred fifty-two million, three hundred sixty-two thousand, six hundred fifty-six".