2565117680 has 40 divisors (see below), whose sum is σ = 5966618112. Its totient is φ = 1025579264.

The previous prime is 2565117671. The next prime is 2565117707. The reversal of 2565117680 is 867115652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208994 + ... + 220926.

Almost surely, 2^2565117680 is an apocalyptic number.

2565117680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565117680 is an abundant number, since it is smaller than the sum of its proper divisors (3401500432).

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

2565117680 is a wasteful number, since it uses less digits than its factorization.

2565117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14627 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 2565117680 is about 50646.9908286761. The cubic root of 2565117680 is about 1368.8917245019.

The spelling of 2565117680 in words is "two billion, five hundred sixty-five million, one hundred seventeen thousand, six hundred eighty".