2585920400 has 60 divisors (see below), whose sum is σ = 7100206272. Its totient is φ = 886600320.

The previous prime is 2585920373. The next prime is 2585920433. The reversal of 2585920400 is 40295852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 458972 + ... + 464571.

Almost surely, 2^2585920400 is an apocalyptic number.

2585920400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585920400 is an abundant number, since it is smaller than the sum of its proper divisors (4514285872).

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

2585920400 is a wasteful number, since it uses less digits than its factorization.

2585920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923568 (or 923557 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2585920400 is about 50851.9458821391. The cubic root of 2585920400 is about 1372.5822680760.

The spelling of 2585920400 in words is "two billion, five hundred eighty-five million, nine hundred twenty thousand, four hundred".