2585345064 has 32 divisors (see below), whose sum is σ = 6466161120. Its totient is φ = 861408576.

The previous prime is 2585345051. The next prime is 2585345083. The reversal of 2585345064 is 4605435852.

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, 36387 + ... + 80589.

It is an arithmetic number, because the mean of its divisors is an integer number (202067535).

Almost surely, 2^2585345064 is an apocalyptic number.

2585345064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2585345064 is an abundant number, since it is smaller than the sum of its proper divisors (3880816056).

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

2585345064 is a wasteful number, since it uses less digits than its factorization.

2585345064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46649 (or 46645 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The square root of 2585345064 is about 50846.2885961208. The cubic root of 2585345064 is about 1372.4804662102.

The spelling of 2585345064 in words is "two billion, five hundred eighty-five million, three hundred forty-five thousand, sixty-four".