242434235422224 has 120 divisors (see below), whose sum is σ = 702132013502400. Its totient is φ = 77996237679360.

The previous prime is 242434235422193. The next prime is 242434235422229. The reversal of 242434235422224 is 422224532434242.

242434235422224 is a `hidden beast` number, since 2 + 4 + 2 + 43 + 4 + 23 + 542 + 22 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242434235422224.

It is not an unprimeable number, because it can be changed into a prime (242434235422229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775917 + ... + 22033395.

It is an arithmetic number, because the mean of its divisors is an integer number (5851100112520).

Almost surely, 2^{242434235422224} is an apocalyptic number.

242434235422224 is a gapful number since it is divisible by the number (24) 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 242434235422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351066006751200).

242434235422224 is an abundant number, since it is smaller than the sum of its proper divisors (459697778080176).

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

242434235422224 is a wasteful number, since it uses less digits than its factorization.

242434235422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21260253 (or 21260244 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 45.

Adding to 242434235422224 its reverse (422224532434242), we get a palindrome (664658767856466).

The spelling of 242434235422224 in words is "two hundred forty-two trillion, four hundred thirty-four billion, two hundred thirty-five million, four hundred twenty-two thousand, two hundred twenty-four".