2585697760 has 24 divisors (see below), whose sum is σ = 6108711336. Its totient is φ = 1034279040.

The previous prime is 2585697733. The next prime is 2585697761. The reversal of 2585697760 is 677965852.

2585697760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585697761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8080146 + ... + 8080465.

It is an arithmetic number, because the mean of its divisors is an integer number (254529639).

Almost surely, 2^2585697760 is an apocalyptic number.

2585697760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585697760 is an abundant number, since it is smaller than the sum of its proper divisors (3523013576).

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

2585697760 is a wasteful number, since it uses less digits than its factorization.

2585697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16160626 (or 16160618 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The square root of 2585697760 is about 50849.7567349147. The cubic root of 2585697760 is about 1372.5428752049.

The spelling of 2585697760 in words is "two billion, five hundred eighty-five million, six hundred ninety-seven thousand, seven hundred sixty".