242042234304 has 112 divisors (see below), whose sum is σ = 694233612800. Its totient is φ = 73981209600.

The previous prime is 242042234299. The next prime is 242042234321. The reversal of 242042234304 is 403432240242.

242042234304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55797 + ... + 697995.

It is an arithmetic number, because the mean of its divisors is an integer number (6198514400).

Almost surely, 2^242042234304 is an apocalyptic number.

242042234304 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 242042234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347116806400).

242042234304 is an abundant number, since it is smaller than the sum of its proper divisors (452191378496).

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

242042234304 is a wasteful number, since it uses less digits than its factorization.

242042234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642378 (or 642368 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242042234304 its reverse (403432240242), we get a palindrome (645474474546).

The spelling of 242042234304 in words is "two hundred forty-two billion, forty-two million, two hundred thirty-four thousand, three hundred four".