2585212432 has 60 divisors (see below), whose sum is σ = 5575615360. Its totient is φ = 1160153280.

The previous prime is 2585212411. The next prime is 2585212433. The reversal of 2585212432 is 2342125852.

It is not an unprimeable number, because it can be changed into a prime (2585212433) 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 11 ways as a sum of consecutive naturals, for example, 144493 + ... + 161395.

Almost surely, 2^2585212432 is an apocalyptic number.

2585212432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787807680).

2585212432 is an abundant number, since it is smaller than the sum of its proper divisors (2990402928).

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

2585212432 is a wasteful number, since it uses less digits than its factorization.

2585212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012 (or 16995 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 2585212432 is about 50844.9843347404. The cubic root of 2585212432 is about 1372.4569957207.

The spelling of 2585212432 in words is "two billion, five hundred eighty-five million, two hundred twelve thousand, four hundred thirty-two".