2112400400 has 60 divisors (see below), whose sum is σ = 5536420944. Its totient is φ = 768144000.

The previous prime is 2112400393. The next prime is 2112400403. The reversal of 2112400400 is 40042112.

It is not an unprimeable number, because it can be changed into a prime (2112400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235646 + ... + 244445.

Almost surely, 2^2112400400 is an apocalyptic number.

2112400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112400400 is an abundant number, since it is smaller than the sum of its proper divisors (3424020544).

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

2112400400 is a wasteful number, since it uses less digits than its factorization.

2112400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480120 (or 480109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2112400400 is about 45960.8572591939. The cubic root of 2112400400 is about 1283.0948062151.

Adding to 2112400400 its reverse (40042112), we get a palindrome (2152442512).

It can be divided in two parts, 21 and 12400400, that added together give a palindrome (12400421).

The spelling of 2112400400 in words is "two billion, one hundred twelve million, four hundred thousand, four hundred".