2565423600 has 120 divisors (see below), whose sum is σ = 8483123712. Its totient is φ = 662035200.

The previous prime is 2565423593. The next prime is 2565423613. The reversal of 2565423600 is 63245652.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719 + ... + 71681.

Almost surely, 2^2565423600 is an apocalyptic number.

2565423600 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 2565423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241561856).

2565423600 is an abundant number, since it is smaller than the sum of its proper divisors (5917700112).

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

2565423600 is a wasteful number, since it uses less digits than its factorization.

2565423600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69015 (or 69004 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2565423600 is about 50650.0108588340. The cubic root of 2565423600 is about 1368.9461410709.

The spelling of 2565423600 in words is "two billion, five hundred sixty-five million, four hundred twenty-three thousand, six hundred".