2503366560 has 432 divisors, whose sum is σ = 9290762208. Its totient is φ = 636387840.

The previous prime is 2503366549. The next prime is 2503366601. The reversal of 2503366560 is 656633052.

2503366560 is a `hidden beast` number, since 2 + 5 + 0 + 33 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37363647 + ... + 37363713.

It is an arithmetic number, because the mean of its divisors is an integer number (21506394).

Almost surely, 2^2503366560 is an apocalyptic number.

2503366560 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 2503366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645381104).

2503366560 is an abundant number, since it is smaller than the sum of its proper divisors (6787395648).

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

2503366560 is an equidigital number, since it uses as much as digits as its factorization.

2503366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 2503366560 is about 50033.6542738985. The cubic root of 2503366560 is about 1357.8177516914.

The spelling of 2503366560 in words is "two billion, five hundred three million, three hundred sixty-six thousand, five hundred sixty".