2504089728 has 576 divisors, whose sum is σ = 9142398720. Its totient is φ = 679311360.

The previous prime is 2504089723. The next prime is 2504089733. The reversal of 2504089728 is 8279804052.

It is an interprime number because it is at equal distance from previous prime (2504089723) and next prime (2504089733).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2504089728² = 12540930731750227968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2504089723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47246950 + ... + 47247002.

It is an arithmetic number, because the mean of its divisors is an integer number (15872220).

Almost surely, 2^2504089728 is an apocalyptic number.

2504089728 is a gapful number since it is divisible by the number (28) 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 2504089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2504089728 is an abundant number, since it is smaller than the sum of its proper divisors (6638308992).

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

2504089728 is an equidigital number, since it uses as much as digits as its factorization.

2504089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2504089728 is about 50040.8805677918. The cubic root of 2504089728 is about 1357.9484870813.

The spelling of 2504089728 in words is "two billion, five hundred four million, eighty-nine thousand, seven hundred twenty-eight".