2504122200 has 144 divisors (see below), whose sum is σ = 8605516920. Its totient is φ = 652216320.

The previous prime is 2504122199. The next prime is 2504122207. The reversal of 2504122200 is 22214052.

2504122200 is a `hidden beast` number, since 2 + 50 + 412 + 2 + 200 = 666.

2504122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504122207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61224 + ... + 93576.

Almost surely, 2^2504122200 is an apocalyptic number.

2504122200 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 2504122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302758460).

2504122200 is an abundant number, since it is smaller than the sum of its proper divisors (6101394720).

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

2504122200 is a wasteful number, since it uses less digits than its factorization.

2504122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32418 (or 32406 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2504122200 is about 50041.2050214621. The cubic root of 2504122200 is about 1357.9543568274.

Adding to 2504122200 its reverse (22214052), we get a palindrome (2526336252).

The spelling of 2504122200 in words is "two billion, five hundred four million, one hundred twenty-two thousand, two hundred".