2122404400 has 60 divisors (see below), whose sum is σ = 5145962800. Its totient is φ = 841155840.

The previous prime is 2122404391. The next prime is 2122404433. The reversal of 2122404400 is 44042212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19261 + ... + 67939.

Almost surely, 2^2122404400 is an apocalyptic number.

2122404400 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 2122404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572981400).

2122404400 is an abundant number, since it is smaller than the sum of its proper divisors (3023558400).

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

2122404400 is a wasteful number, since it uses less digits than its factorization.

2122404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48806 (or 48795 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2122404400 is about 46069.5604493900. The cubic root of 2122404400 is about 1285.1171296281.

Adding to 2122404400 its reverse (44042212), we get a palindrome (2166446612).

The spelling of 2122404400 in words is "two billion, one hundred twenty-two million, four hundred four thousand, four hundred".