2565892980 has 72 divisors (see below), whose sum is σ = 8895100032. Its totient is φ = 586489536.

The previous prime is 2565892969. The next prime is 2565892991. The reversal of 2565892980 is 892985652.

2565892980 is a `hidden beast` number, since 2 + 56 + 589 + 2 + 9 + 8 + 0 = 666.

2565892980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2565892969) and next prime (2565892991).

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, 1016952 + ... + 1019471.

It is an arithmetic number, because the mean of its divisors is an integer number (123543056).

Almost surely, 2^2565892980 is an apocalyptic number.

2565892980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565892980 is an abundant number, since it is smaller than the sum of its proper divisors (6329207052).

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

2565892980 is a wasteful number, since it uses less digits than its factorization.

2565892980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036445 (or 2036440 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 2565892980 is about 50654.6442095885. The cubic root of 2565892980 is about 1369.0296252377.

The spelling of 2565892980 in words is "two billion, five hundred sixty-five million, eight hundred ninety-two thousand, nine hundred eighty".