2502252576 has 288 divisors, whose sum is σ = 8156453760. Its totient is φ = 722608128.

The previous prime is 2502252569. The next prime is 2502252581. The reversal of 2502252576 is 6752522052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2502252576² = 12522535908197271552, 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 2502252576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3441525 + ... + 3442251.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 2^2502252576 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 2502252576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078226880).

2502252576 is an abundant number, since it is smaller than the sum of its proper divisors (5654201184).

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

2502252576 is a wasteful number, since it uses less digits than its factorization.

2502252576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2502252576 is about 50022.5206881860. The cubic root of 2502252576 is about 1357.6163147285.

The spelling of 2502252576 in words is "two billion, five hundred two million, two hundred fifty-two thousand, five hundred seventy-six".