2565789984 has 72 divisors (see below), whose sum is σ = 7396477452. Its totient is φ = 843540480.

The previous prime is 2565789953. The next prime is 2565790033. The reversal of 2565789984 is 4899875652.

2565789984 is a `hidden beast` number, since 2 + 56 + 578 + 9 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2534115600 + 31674384 = 50340^2 + 5628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39997 + ... + 82044.

Almost surely, 2^2565789984 is an apocalyptic number.

2565789984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2565789984 is an abundant number, since it is smaller than the sum of its proper divisors (4830687468).

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

2565789984 is a wasteful number, since it uses less digits than its factorization.

2565789984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122130 (or 122119 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 2565789984 is about 50653.6275502555. The cubic root of 2565789984 is about 1369.0113071885.

The spelling of 2565789984 in words is "two billion, five hundred sixty-five million, seven hundred eighty-nine thousand, nine hundred eighty-four".