2565905742 has 16 divisors (see below), whose sum is σ = 5702012880. Its totient is φ = 855301896.

The previous prime is 2565905731. The next prime is 2565905759. The reversal of 2565905742 is 2475095652.

2565905742 is a `hidden beast` number, since 2 + 5 + 6 + 590 + 57 + 4 + 2 = 666.

2565905742 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 a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 23758333 + ... + 23758440.

It is an arithmetic number, because the mean of its divisors is an integer number (356375805).

Almost surely, 2^2565905742 is an apocalyptic number.

2565905742 is an abundant number, since it is smaller than the sum of its proper divisors (3136107138).

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

2565905742 is a wasteful number, since it uses less digits than its factorization.

2565905742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47516784 (or 47516778 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2565905742 is about 50654.7701801124. The cubic root of 2565905742 is about 1369.0318949514.

The spelling of 2565905742 in words is "two billion, five hundred sixty-five million, nine hundred five thousand, seven hundred forty-two".