2522948400 has 360 divisors, whose sum is σ = 10200284640. Its totient is φ = 565493760.

The previous prime is 2522948381. The next prime is 2522948413. The reversal of 2522948400 is 48492252.

2522948400 is a `hidden beast` number, since 2 + 522 + 94 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 1334656 + ... + 1336544.

It is an arithmetic number, because the mean of its divisors is an integer number (28334124).

Almost surely, 2^2522948400 is an apocalyptic number.

2522948400 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 2522948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100142320).

2522948400 is an abundant number, since it is smaller than the sum of its proper divisors (7677336240).

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

2522948400 is a wasteful number, since it uses less digits than its factorization.

2522948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2522948400 is about 50228.9597742179. The cubic root of 2522948400 is about 1361.3489355297.

The spelling of 2522948400 in words is "two billion, five hundred twenty-two million, nine hundred forty-eight thousand, four hundred".