2552216256 has 224 divisors, whose sum is σ = 7998439680. Its totient is φ = 795267072.

The previous prime is 2552216237. The next prime is 2552216263. The reversal of 2552216256 is 6526122552.

2552216256 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 21 + 625 + 6 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 2552216256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8313255 + ... + 8313561.

It is an arithmetic number, because the mean of its divisors is an integer number (35707320).

Almost surely, 2^2552216256 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 2552216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999219840).

2552216256 is an abundant number, since it is smaller than the sum of its proper divisors (5446223424).

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

2552216256 is a wasteful number, since it uses less digits than its factorization.

2552216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 612 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2552216256 is about 50519.4641301746. The cubic root of 2552216256 is about 1366.5928898769.

The spelling of 2552216256 in words is "two billion, five hundred fifty-two million, two hundred sixteen thousand, two hundred fifty-six".