2552086656 has 512 divisors, whose sum is σ = 9212313600. Its totient is φ = 680140800.

The previous prime is 2552086637. The next prime is 2552086661. The reversal of 2552086656 is 6566802552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30747991 + ... + 30748073.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2552086656 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 2552086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2552086656 is an abundant number, since it is smaller than the sum of its proper divisors (6660226944).

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

2552086656 is a wasteful number, since it uses less digits than its factorization.

2552086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2552086656 is about 50518.1814399529. The cubic root of 2552086656 is about 1366.5697578981.

The spelling of 2552086656 in words is "two billion, five hundred fifty-two million, eighty-six thousand, six hundred fifty-six".