2502222400 has 84 divisors (see below), whose sum is σ = 6201877360. Its totient is φ = 993600000.

The previous prime is 2502222377. The next prime is 2502222409. The reversal of 2502222400 is 42222052.

It is a super-2 number, since 2×2502222400² = 12522233878123520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2502222409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 216775 + ... + 228025.

Almost surely, 2^2502222400 is an apocalyptic number.

2502222400 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 2502222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100938680).

2502222400 is an abundant number, since it is smaller than the sum of its proper divisors (3699654960).

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

2502222400 is a wasteful number, since it uses less digits than its factorization.

2502222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2502222400 is about 50022.2190631323. The cubic root of 2502222400 is about 1357.6108572999.

Adding to 2502222400 its reverse (42222052), we get a palindrome (2544444452).

The spelling of 2502222400 in words is "two billion, five hundred two million, two hundred twenty-two thousand, four hundred".