2224434042112 has 144 divisors (see below), whose sum is σ = 4677158202192. Its totient is φ = 1054463754240.

The previous prime is 2224434042073. The next prime is 2224434042139. The reversal of 2224434042112 is 2112404344222.

It can be written as a sum of positive squares in 8 ways, for example, as 200574996736 + 2023859045376 = 447856^2 + 1422624^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363882768 + ... + 363888880.

It is an arithmetic number, because the mean of its divisors is an integer number (32480265293).

Almost surely, 2^{2224434042112} 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 2224434042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338579101096).

2224434042112 is an abundant number, since it is smaller than the sum of its proper divisors (2452724160080).

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

2224434042112 is an equidigital number, since it uses as much as digits as its factorization.

2224434042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 2224434042112 its reverse (2112404344222), we get a palindrome (4336838386334).

The spelling of 2224434042112 in words is "two trillion, two hundred twenty-four billion, four hundred thirty-four million, forty-two thousand, one hundred twelve".