2504126560 has 96 divisors (see below), whose sum is σ = 6408823680. Its totient is φ = 919123968.

The previous prime is 2504126549. The next prime is 2504126567. The reversal of 2504126560 is 656214052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504126567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356361 + ... + 363319.

It is an arithmetic number, because the mean of its divisors is an integer number (66758580).

Almost surely, 2^2504126560 is an apocalyptic number.

2504126560 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 2504126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204411840).

2504126560 is an abundant number, since it is smaller than the sum of its proper divisors (3904697120).

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

2504126560 is a wasteful number, since it uses less digits than its factorization.

2504126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2504126560 is about 50041.2485855419. The cubic root of 2504126560 is about 1357.9551449516.

The spelling of 2504126560 in words is "two billion, five hundred four million, one hundred twenty-six thousand, five hundred sixty".