2504016072 has 256 divisors, whose sum is σ = 7630848000. Its totient is φ = 758419200.

The previous prime is 2504016043. The next prime is 2504016101. The reversal of 2504016072 is 2706104052.

2504016072 is a `hidden beast` number, since 2 + 50 + 4 + 0 + 1 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2504016043) and next prime (2504016101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10934454 + ... + 10934682.

It is an arithmetic number, because the mean of its divisors is an integer number (29808000).

Almost surely, 2^2504016072 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 2504016072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815424000).

2504016072 is an abundant number, since it is smaller than the sum of its proper divisors (5126831928).

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

2504016072 is a wasteful number, since it uses less digits than its factorization.

2504016072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2504016072 is about 50040.1446041076. The cubic root of 2504016072 is about 1357.9351725911.

The spelling of 2504016072 in words is "two billion, five hundred four million, sixteen thousand, seventy-two".