2585503664 has 80 divisors (see below), whose sum is σ = 5361085440. Its totient is φ = 1205917440.

The previous prime is 2585503663. The next prime is 2585503733. The reversal of 2585503664 is 4663055852.

2585503664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2585503663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550159 + ... + 1551825.

It is an arithmetic number, because the mean of its divisors is an integer number (67013568).

Almost surely, 2^2585503664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585503664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680542720).

2585503664 is an abundant number, since it is smaller than the sum of its proper divisors (2775581776).

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

2585503664 is a wasteful number, since it uses less digits than its factorization.

2585503664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The square root of 2585503664 is about 50847.8481747261. The cubic root of 2585503664 is about 1372.5085309295.

The spelling of 2585503664 in words is "two billion, five hundred eighty-five million, five hundred three thousand, six hundred sixty-four".