2556367632 has 540 divisors, whose sum is σ = 9580285260. Its totient is φ = 629959680.

The previous prime is 2556367607. The next prime is 2556367643. The reversal of 2556367632 is 2367636552.

2556367632 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 3 + 6 + 7 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 820478736 + 1735888896 = 28644^2 + 41664^2 .

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 107 ways as a sum of consecutive naturals, for example, 82463457 + ... + 82463487.

It is an arithmetic number, because the mean of its divisors is an integer number (17741269).

Almost surely, 2^2556367632 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 2556367632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790142630).

2556367632 is an abundant number, since it is smaller than the sum of its proper divisors (7023917628).

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

2556367632 is a wasteful number, since it uses less digits than its factorization.

2556367632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The square root of 2556367632 is about 50560.5343326195. The cubic root of 2556367632 is about 1367.3334446399. Note that the first 3 decimals are identical.

The spelling of 2556367632 in words is "two billion, five hundred fifty-six million, three hundred sixty-seven thousand, six hundred thirty-two".