2522253600 has 288 divisors, whose sum is σ = 9520640640. Its totient is φ = 643230720.

The previous prime is 2522253583. The next prime is 2522253607. The reversal of 2522253600 is 63522252.

2522253600 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 2 + 53 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2522253607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494262 + ... + 499338.

It is an arithmetic number, because the mean of its divisors is an integer number (33057780).

Almost surely, 2^2522253600 is an apocalyptic number.

2522253600 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 2522253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760320320).

2522253600 is an abundant number, since it is smaller than the sum of its proper divisors (6998387040).

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

2522253600 is a wasteful number, since it uses less digits than its factorization.

2522253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2522253600 is about 50222.0429691983. The cubic root of 2522253600 is about 1361.2239558192.

Adding to 2522253600 its reverse (63522252), we get a palindrome (2585775852).

The spelling of 2522253600 in words is "two billion, five hundred twenty-two million, two hundred fifty-three thousand, six hundred".