242312826624 has 216 divisors, whose sum is σ = 739689718656. Its totient is φ = 70234982400.

The previous prime is 242312826593. The next prime is 242312826661. The reversal of 242312826624 is 426628213242.

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

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 23 ways as a sum of consecutive naturals, for example, 2080659 + ... + 2194029.

Almost surely, 2^242312826624 is an apocalyptic number.

242312826624 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 242312826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369844859328).

242312826624 is an abundant number, since it is smaller than the sum of its proper divisors (497376892032).

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

242312826624 is a wasteful number, since it uses less digits than its factorization.

242312826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113435 (or 113410 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The spelling of 242312826624 in words is "two hundred forty-two billion, three hundred twelve million, eight hundred twenty-six thousand, six hundred twenty-four".