2504507040 has 480 divisors, whose sum is σ = 10640488320. Its totient is φ = 541956096.

The previous prime is 2504507011. The next prime is 2504507063. The reversal of 2504507040 is 407054052.

2504507040 is a `hidden beast` number, since 2 + 504 + 50 + 70 + 40 = 666.

2504507040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2504506995 and 2504507013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1722954 + ... + 1724406.

It is an arithmetic number, because the mean of its divisors is an integer number (22167684).

Almost surely, 2^2504507040 is an apocalyptic number.

2504507040 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 2504507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320244160).

2504507040 is an abundant number, since it is smaller than the sum of its proper divisors (8135981280).

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

2504507040 is a wasteful number, since it uses less digits than its factorization.

2504507040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2504507040 is about 50045.0501048805. The cubic root of 2504507040 is about 1358.0239179143.

The spelling of 2504507040 in words is "two billion, five hundred four million, five hundred seven thousand, forty".