2502660096 has 156 divisors (see below), whose sum is σ = 7481495580. Its totient is φ = 805109760.

The previous prime is 2502660023. The next prime is 2502660103. The reversal of 2502660096 is 6900662052.

2502660096 is a `hidden beast` number, since 2 + 502 + 6 + 60 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1474560000 + 1028100096 = 38400^2 + 32064^2 .

It is a super-2 number, since 2×2502660096² = 12526615112221458432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2502660096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067886 + ... + 1070226.

It is an arithmetic number, because the mean of its divisors is an integer number (47958305).

Almost surely, 2^2502660096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740747790).

2502660096 is an abundant number, since it is smaller than the sum of its proper divisors (4978835484).

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

2502660096 is a wasteful number, since it uses less digits than its factorization.

2502660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2502660096 is about 50026.5938876514. The cubic root of 2502660096 is about 1357.6900117611.

The spelling of 2502660096 in words is "two billion, five hundred two million, six hundred sixty thousand, ninety-six".