2522152800 has 216 divisors, whose sum is σ = 8957239200. Its totient is φ = 667776000.

The previous prime is 2522152799. The next prime is 2522152811. The reversal of 2522152800 is 82512252.

It is a super-2 number, since 2×2522152800² = 12722509493095680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1071625 + ... + 1073975.

It is an arithmetic number, because the mean of its divisors is an integer number (41468700).

Almost surely, 2^2522152800 is an apocalyptic number.

2522152800 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 2522152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478619600).

2522152800 is an abundant number, since it is smaller than the sum of its proper divisors (6435086400).

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

2522152800 is a wasteful number, since it uses less digits than its factorization.

2522152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2522152800 is about 50221.0394157668. The cubic root of 2522152800 is about 1361.2058221414.

The spelling of 2522152800 in words is "two billion, five hundred twenty-two million, one hundred fifty-two thousand, eight hundred".