2565300352 has 64 divisors (see below), whose sum is σ = 5394780000. Its totient is φ = 1211701248.

The previous prime is 2565300343. The next prime is 2565300359. The reversal of 2565300352 is 2530035652.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2565300359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993399 + ... + 995977.

Almost surely, 2^2565300352 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 2565300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697390000).

2565300352 is an abundant number, since it is smaller than the sum of its proper divisors (2829479648).

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

2565300352 is a wasteful number, since it uses less digits than its factorization.

2565300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 2565300352 is about 50648.7941811056. The cubic root of 2565300352 is about 1368.9242184306.

It can be divided in two parts, 2565300 and 352, that added together give a palindrome (2565652).

The spelling of 2565300352 in words is "two billion, five hundred sixty-five million, three hundred thousand, three hundred fifty-two".