2585372064 has 48 divisors (see below), whose sum is σ = 7403568480. Its totient is φ = 783445760.

The previous prime is 2585372039. The next prime is 2585372113. The reversal of 2585372064 is 4602735852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223079 + ... + 1225190.

It is an arithmetic number, because the mean of its divisors is an integer number (154241010).

Almost surely, 2^2585372064 is an apocalyptic number.

2585372064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2585372064 is an abundant number, since it is smaller than the sum of its proper divisors (4818196416).

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

2585372064 is a wasteful number, since it uses less digits than its factorization.

2585372064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448293 (or 2448285 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2585372064 is about 50846.5541015318. The cubic root of 2585372064 is about 1372.4852440177.

The spelling of 2585372064 in words is "two billion, five hundred eighty-five million, three hundred seventy-two thousand, sixty-four".