2585469264 has 80 divisors (see below), whose sum is σ = 7638796800. Its totient is φ = 738172800.

The previous prime is 2585469247. The next prime is 2585469281. The reversal of 2585469264 is 4629645852.

It is an interprime number because it is at equal distance from previous prime (2585469247) and next prime (2585469281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905439 + ... + 908289.

It is an arithmetic number, because the mean of its divisors is an integer number (95484960).

Almost surely, 2^2585469264 is an apocalyptic number.

2585469264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2585469264 is an abundant number, since it is smaller than the sum of its proper divisors (5053327536).

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

2585469264 is a wasteful number, since it uses less digits than its factorization.

2585469264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5562 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 2585469264 is about 50847.5099095324. The cubic root of 2585469264 is about 1372.5024438495.

The spelling of 2585469264 in words is "two billion, five hundred eighty-five million, four hundred sixty-nine thousand, two hundred sixty-four".