2585372320 has 24 divisors (see below), whose sum is σ = 6107942484. Its totient is φ = 1034148864.

The previous prime is 2585372281. The next prime is 2585372329. The reversal of 2585372320 is 232735852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2555909136 + 29463184 = 50556^2 + 5428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2585372320.

It is not an unprimeable number, because it can be changed into a prime (2585372329) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8079129 + ... + 8079448.

Almost surely, 2^2585372320 is an apocalyptic number.

2585372320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585372320 is an abundant number, since it is smaller than the sum of its proper divisors (3522570164).

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

2585372320 is a wasteful number, since it uses less digits than its factorization.

2585372320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16158592 (or 16158584 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 2585372320 is about 50846.5566189098. The cubic root of 2585372320 is about 1372.4852893183.

The spelling of 2585372320 in words is "two billion, five hundred eighty-five million, three hundred seventy-two thousand, three hundred twenty".