2504972304 has 160 divisors (see below), whose sum is σ = 7708970880. Its totient is φ = 785687040.

The previous prime is 2504972303. The next prime is 2504972339. The reversal of 2504972304 is 4032794052.

It is a super-5 number, since 5×2504972304⁵ (a number of 48 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2504972303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592759 + ... + 596969.

It is an arithmetic number, because the mean of its divisors is an integer number (48181068).

Almost surely, 2^2504972304 is an apocalyptic number.

2504972304 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 2504972304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854485440).

2504972304 is an abundant number, since it is smaller than the sum of its proper divisors (5203998576).

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

2504972304 is an equidigital number, since it uses as much as digits as its factorization.

2504972304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2504972304 is about 50049.6983407493. The cubic root of 2504972304 is about 1358.1080063874.

The spelling of 2504972304 in words is "two billion, five hundred four million, nine hundred seventy-two thousand, three hundred four".