2112330400 has 72 divisors (see below), whose sum is σ = 5266537920. Its totient is φ = 826940160.

The previous prime is 2112330383. The next prime is 2112330413. The reversal of 2112330400 is 40332112.

It is a happy number.

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, 9511 + ... + 65689.

It is an arithmetic number, because the mean of its divisors is an integer number (73146360).

Almost surely, 2^2112330400 is an apocalyptic number.

2112330400 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 2112330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633268960).

2112330400 is an abundant number, since it is smaller than the sum of its proper divisors (3154207520).

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

2112330400 is a wasteful number, since it uses less digits than its factorization.

2112330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56246 (or 56233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2112330400 is about 45960.0957353224. The cubic root of 2112330400 is about 1283.0806331400.

Adding to 2112330400 its reverse (40332112), we get a palindrome (2152662512).

The spelling of 2112330400 in words is "two billion, one hundred twelve million, three hundred thirty thousand, four hundred".