2585639680 has 72 divisors (see below), whose sum is σ = 6669874512. Its totient is φ = 954691584.

The previous prime is 2585639677. The next prime is 2585639689. The reversal of 2585639680 is 869365852.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2585639689) 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, 61054 + ... + 94333.

It is an arithmetic number, because the mean of its divisors is an integer number (92637146).

Almost surely, 2^2585639680 is an apocalyptic number.

2585639680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585639680 is an abundant number, since it is smaller than the sum of its proper divisors (4084234832).

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

2585639680 is a wasteful number, since it uses less digits than its factorization.

2585639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155421 (or 155407 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The square root of 2585639680 is about 50849.1856375301. The cubic root of 2585639680 is about 1372.5325984319.

It can be divided in two parts, 25856 and 39680, that added together give a 16-th power (65536 = 2¹⁶).

The spelling of 2585639680 in words is "two billion, five hundred eighty-five million, six hundred thirty-nine thousand, six hundred eighty".