2585073564 has 36 divisors (see below), whose sum is σ = 6559941024. Its totient is φ = 858335232.

The previous prime is 2585073521. The next prime is 2585073583. The reversal of 2585073564 is 4653705852.

2585073564 is a `hidden beast` number, since 2 + 5 + 85 + 0 + 7 + 3 + 564 = 666.

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

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, 130452 + ... + 148955.

It is an arithmetic number, because the mean of its divisors is an integer number (182220584).

Almost surely, 2^2585073564 is an apocalyptic number.

It is an amenable number.

2585073564 is an abundant number, since it is smaller than the sum of its proper divisors (3974867460).

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

2585073564 is a wasteful number, since it uses less digits than its factorization.

2585073564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279674 (or 279669 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2585073564 is about 50843.6187146430. The cubic root of 2585073564 is about 1372.4324208517.

The spelling of 2585073564 in words is "two billion, five hundred eighty-five million, seventy-three thousand, five hundred sixty-four".