2565410256540 has 36 divisors (see below), whose sum is σ = 7781744445384. Its totient is φ = 684109401696.

The previous prime is 2565410256511. The next prime is 2565410256553. The reversal of 2565410256540 is 456520145652.

2565410256540 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 41 + 0 + 2 + 565 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2565410256540² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7126139422 + ... + 7126139781.

Almost surely, 2^{2565410256540} is an apocalyptic number.

2565410256540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565410256540 is an abundant number, since it is smaller than the sum of its proper divisors (5216334188844).

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

2565410256540 is a wasteful number, since it uses less digits than its factorization.

2565410256540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14252279218 (or 14252279213 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 2565410256540 in words is "two trillion, five hundred sixty-five billion, four hundred ten million, two hundred fifty-six thousand, five hundred forty".