2200422400 has 144 divisors (see below), whose sum is σ = 5953212720. Its totient is φ = 799948800.

The previous prime is 2200422361. The next prime is 2200422463. The reversal of 2200422400 is 42240022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561247 + ... + 565153.

It is an arithmetic number, because the mean of its divisors is an integer number (41341755).

Almost surely, 2^2200422400 is an apocalyptic number.

2200422400 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 2200422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976606360).

2200422400 is an abundant number, since it is smaller than the sum of its proper divisors (3752790320).

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

2200422400 is a wasteful number, since it uses less digits than its factorization.

2200422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2200422400 is about 46908.6601812501. The cubic root of 2200422400 is about 1300.6746793773.

Adding to 2200422400 its reverse (42240022), we get a palindrome (2242662422).

The spelling of 2200422400 in words is "two billion, two hundred million, four hundred twenty-two thousand, four hundred".