2244112400 has 60 divisors (see below), whose sum is σ = 5396364804. Its totient is φ = 896832000.

The previous prime is 2244112373. The next prime is 2244112411. The reversal of 2244112400 is 42114422.

It can be written as a sum of positive squares in 6 ways, for example, as 58736896 + 2185375504 = 7664^2 + 46748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 646670 + ... + 650130.

Almost surely, 2^2244112400 is an apocalyptic number.

2244112400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244112400 is an abundant number, since it is smaller than the sum of its proper divisors (3152252404).

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

2244112400 is a wasteful number, since it uses less digits than its factorization.

2244112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2244112400 is about 47372.0634973821. The cubic root of 2244112400 is about 1309.2267448717.

Adding to 2244112400 its reverse (42114422), we get a palindrome (2286226822).

The spelling of 2244112400 in words is "two billion, two hundred forty-four million, one hundred twelve thousand, four hundred".