2565906156 has 216 divisors, whose sum is σ = 7417492992. Its totient is φ = 746856000.

The previous prime is 2565906131. The next prime is 2565906163. The reversal of 2565906156 is 6516095652.

2565906156 is a `hidden beast` number, since 2 + 5 + 6 + 590 + 6 + 1 + 56 = 666.

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 71 ways as a sum of consecutive naturals, for example, 16992681 + ... + 16992831.

Almost surely, 2^2565906156 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 2565906156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708746496).

2565906156 is an abundant number, since it is smaller than the sum of its proper divisors (4851586836).

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

2565906156 is a wasteful number, since it uses less digits than its factorization.

2565906156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2565906156 is about 50654.7742665980. The cubic root of 2565906156 is about 1369.0319685809.

The spelling of 2565906156 in words is "two billion, five hundred sixty-five million, nine hundred six thousand, one hundred fifty-six".