2584087904 has 48 divisors (see below), whose sum is σ = 5316917760. Its totient is φ = 1233936000.

The previous prime is 2584087903. The next prime is 2584087931. The reversal of 2584087904 is 4097804852.

It is a happy number.

It is a super-2 number, since 2×2584087904² = 13355020591198226432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584087903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541529 + ... + 546279.

It is an arithmetic number, because the mean of its divisors is an integer number (110769120).

Almost surely, 2^2584087904 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 2584087904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658458880).

2584087904 is an abundant number, since it is smaller than the sum of its proper divisors (2732829856).

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

2584087904 is a wasteful number, since it uses less digits than its factorization.

2584087904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2584087904 is about 50833.9247353576. The cubic root of 2584087904 is about 1372.2579675692.

The spelling of 2584087904 in words is "two billion, five hundred eighty-four million, eighty-seven thousand, nine hundred four".