2502732960 has 576 divisors, whose sum is σ = 10699153920. Its totient is φ = 518676480.

The previous prime is 2502732929. The next prime is 2502732961. The reversal of 2502732960 is 692372052.

2502732960 is a `hidden beast` number, since 2 + 502 + 73 + 29 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2502732961) 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 95 ways as a sum of consecutive naturals, for example, 9303706 + ... + 9303974.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^2502732960 is an apocalyptic number.

2502732960 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 2502732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349576960).

2502732960 is an abundant number, since it is smaller than the sum of its proper divisors (8196420960).

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

2502732960 is a wasteful number, since it uses less digits than its factorization.

2502732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2502732960 is about 50027.3221350094. The cubic root of 2502732960 is about 1357.7031878432.

The spelling of 2502732960 in words is "two billion, five hundred two million, seven hundred thirty-two thousand, nine hundred sixty".