2504067072 has 192 divisors, whose sum is σ = 7281368640. Its totient is φ = 760676352.

The previous prime is 2504067061. The next prime is 2504067073. The reversal of 2504067072 is 2707604052.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2504067073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8546158 + ... + 8546450.

It is an arithmetic number, because the mean of its divisors is an integer number (37923795).

Almost surely, 2^2504067072 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 2504067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640684320).

2504067072 is an abundant number, since it is smaller than the sum of its proper divisors (4777301568).

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

2504067072 is a wasteful number, since it uses less digits than its factorization.

2504067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 2504067072 is about 50040.6541923664. The cubic root of 2504067072 is about 1357.9443916778.

The spelling of 2504067072 in words is "two billion, five hundred four million, sixty-seven thousand, seventy-two".