2565164160 has 512 divisors, whose sum is σ = 10315872000. Its totient is φ = 597196800.

The previous prime is 2565164123. The next prime is 2565164191. The reversal of 2565164160 is 614615652.

2565164160 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4267860 + ... + 4268460.

Almost surely, 2^2565164160 is an apocalyptic number.

2565164160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157936000).

2565164160 is an abundant number, since it is smaller than the sum of its proper divisors (7750707840).

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

2565164160 is a wasteful number, since it uses less digits than its factorization.

2565164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2565164160 is about 50647.4496890021. The cubic root of 2565164160 is about 1368.8999925700.

It can be divided in two parts, 2565 and 164160, that multiplied together give a square (421070400 = 20520²).

The spelling of 2565164160 in words is "two billion, five hundred sixty-five million, one hundred sixty-four thousand, one hundred sixty".