2565577040 has 160 divisors (see below), whose sum is σ = 6711716256. Its totient is φ = 905748480.

The previous prime is 2565577039. The next prime is 2565577057. The reversal of 2565577040 is 407755652.

It can be written as a sum of positive squares in 16 ways, for example, as 391406656 + 2174170384 = 19784^2 + 46628^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2346734 + ... + 2347826.

Almost surely, 2^2565577040 is an apocalyptic number.

2565577040 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 2565577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355858128).

2565577040 is an abundant number, since it is smaller than the sum of its proper divisors (4146139216).

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

2565577040 is a wasteful number, since it uses less digits than its factorization.

2565577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The square root of 2565577040 is about 50651.5255446467. The cubic root of 2565577040 is about 1368.9734331080.

The spelling of 2565577040 in words is "two billion, five hundred sixty-five million, five hundred seventy-seven thousand, forty".