2509634304 has 108 divisors (see below), whose sum is σ = 7616863800. Its totient is φ = 792502272.

The previous prime is 2509634291. The next prime is 2509634311. The reversal of 2509634304 is 4034369052.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15112 + ... + 72440.

Almost surely, 2^2509634304 is an apocalyptic number.

2509634304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808431900).

2509634304 is an abundant number, since it is smaller than the sum of its proper divisors (5107229496).

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

2509634304 is a wasteful number, since it uses less digits than its factorization.

2509634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57370 (or 57353 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2509634304 is about 50096.2503986077. The cubic root of 2509634304 is about 1358.9500084757.

The spelling of 2509634304 in words is "two billion, five hundred nine million, six hundred thirty-four thousand, three hundred four".