2565316360 has 64 divisors (see below), whose sum is σ = 5987393280. Its totient is φ = 988485120.

The previous prime is 2565316321. The next prime is 2565316367. The reversal of 2565316360 is 636135652.

2565316360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2565316367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115345 + ... + 135775.

It is an arithmetic number, because the mean of its divisors is an integer number (93553020).

Almost surely, 2^2565316360 is an apocalyptic number.

2565316360 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 2565316360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993696640).

2565316360 is an abundant number, since it is smaller than the sum of its proper divisors (3422076920).

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

2565316360 is a wasteful number, since it uses less digits than its factorization.

2565316360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20558 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 2565316360 is about 50648.9522102876. The cubic root of 2565316360 is about 1368.9270658806.

The spelling of 2565316360 in words is "two billion, five hundred sixty-five million, three hundred sixteen thousand, three hundred sixty".