2585681304 has 32 divisors (see below), whose sum is σ = 6470878320. Its totient is φ = 861003776.

The previous prime is 2585681303. The next prime is 2585681333. The reversal of 2585681304 is 4031865852.

2585681304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585681303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31689 + ... + 78584.

Almost surely, 2^2585681304 is an apocalyptic number.

2585681304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2585681304 is an abundant number, since it is smaller than the sum of its proper divisors (3885197016).

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

2585681304 is a wasteful number, since it uses less digits than its factorization.

2585681304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111259 (or 111255 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2585681304 is about 50849.5949246403. The cubic root of 2585681304 is about 1372.5399634682.

The spelling of 2585681304 in words is "two billion, five hundred eighty-five million, six hundred eighty-one thousand, three hundred four".