2242124314430 has 192 divisors, whose sum is σ = 5523949690560. Its totient is φ = 644097484800.

The previous prime is 2242124314427. The next prime is 2242124314433. The reversal of 2242124314430 is 344134212422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2242124314427) and next prime (2242124314433).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242124314433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46292066 + ... + 46340474.

It is an arithmetic number, because the mean of its divisors is an integer number (28770571305).

Almost surely, 2^{2242124314430} is an apocalyptic number.

2242124314430 is an abundant number, since it is smaller than the sum of its proper divisors (3281825376130).

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

2242124314430 is a wasteful number, since it uses less digits than its factorization.

2242124314430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49115 (or 49108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2242124314430 its reverse (344134212422), we get a palindrome (2586258526852).

The spelling of 2242124314430 in words is "two trillion, two hundred forty-two billion, one hundred twenty-four million, three hundred fourteen thousand, four hundred thirty".