2504944000 has 128 divisors (see below), whose sum is σ = 6707544480. Its totient is φ = 924825600.

The previous prime is 2504943997. The next prime is 2504944003. The reversal of 2504944000 is 4494052.

It is an interprime number because it is at equal distance from previous prime (2504943997) and next prime (2504944003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2504944000³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2504944000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504944003) 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 15 ways as a sum of consecutive naturals, for example, 201979 + ... + 214021.

Almost surely, 2^2504944000 is an apocalyptic number.

2504944000 is a gapful number since it is divisible by the number (20) 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 2504944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353772240).

2504944000 is an abundant number, since it is smaller than the sum of its proper divisors (4202600480).

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

2504944000 is a wasteful number, since it uses less digits than its factorization.

2504944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2504944000 is about 50049.4155810035. The cubic root of 2504944000 is about 1358.1028912232.

The spelling of 2504944000 in words is "two billion, five hundred four million, nine hundred forty-four thousand".