2565105672 has 64 divisors (see below), whose sum is σ = 6464304000. Its totient is φ = 848194560.

The previous prime is 2565105667. The next prime is 2565105727. The reversal of 2565105672 is 2765015652.

It is a super-3 number, since 3×2565105672³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2565105672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832829 + ... + 1834227.

It is an arithmetic number, because the mean of its divisors is an integer number (101004750).

Almost surely, 2^2565105672 is an apocalyptic number.

It is an amenable number.

2565105672 is an abundant number, since it is smaller than the sum of its proper divisors (3899198328).

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

2565105672 is a wasteful number, since it uses less digits than its factorization.

2565105672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 2565105672 is about 50646.8722825013. The cubic root of 2565105672 is about 1368.8895884495.

The spelling of 2565105672 in words is "two billion, five hundred sixty-five million, one hundred five thousand, six hundred seventy-two".