2509608384 has 84 divisors (see below), whose sum is σ = 7506132816. Its totient is φ = 800160768.

The previous prime is 2509608349. The next prime is 2509608397. The reversal of 2509608384 is 4838069052.

2509608384 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 608 + 38 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81469 + ... + 107964.

It is an arithmetic number, because the mean of its divisors is an integer number (89358724).

Almost surely, 2^2509608384 is an apocalyptic number.

2509608384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2509608384 is an abundant number, since it is smaller than the sum of its proper divisors (4996524432).

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

2509608384 is a wasteful number, since it uses less digits than its factorization.

2509608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189474 (or 189461 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2509608384 is about 50095.9916959431. The cubic root of 2509608384 is about 1358.9453299581.

The spelling of 2509608384 in words is "two billion, five hundred nine million, six hundred eight thousand, three hundred eighty-four".