2242112224 has 96 divisors (see below), whose sum is σ = 4958265312. Its totient is φ = 989184000.

The previous prime is 2242112209. The next prime is 2242112237. The reversal of 2242112224 is 4222112422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242112195 and 2242112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863354 + ... + 4863814.

It is an arithmetic number, because the mean of its divisors is an integer number (51648597).

Almost surely, 2^2242112224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479132656).

2242112224 is an abundant number, since it is smaller than the sum of its proper divisors (2716153088).

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

2242112224 is a wasteful number, since it uses less digits than its factorization.

2242112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 2242112224 is about 47350.9474456425. The cubic root of 2242112224 is about 1308.8376582541.

Adding to 2242112224 its reverse (4222112422), we get a palindrome (6464224646).

The spelling of 2242112224 in words is "two billion, two hundred forty-two million, one hundred twelve thousand, two hundred twenty-four".