2585626912 has 48 divisors (see below), whose sum is σ = 5561184384. Its totient is φ = 1173600000.

The previous prime is 2585626847. The next prime is 2585626919. The reversal of 2585626912 is 2196265852.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2585626919) 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, 259462 + ... + 269242.

It is an arithmetic number, because the mean of its divisors is an integer number (115858008).

Almost surely, 2^2585626912 is an apocalyptic number.

2585626912 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 2585626912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780592192).

2585626912 is an abundant number, since it is smaller than the sum of its proper divisors (2975557472).

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

2585626912 is a wasteful number, since it uses less digits than its factorization.

2585626912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10553 (or 10545 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 2585626912 is about 50849.0600896418. The cubic root of 2585626912 is about 1372.5303392198.

The spelling of 2585626912 in words is "two billion, five hundred eighty-five million, six hundred twenty-six thousand, nine hundred twelve".