242320356960 has 192 divisors, whose sum is σ = 842058685440. Its totient is φ = 58084167680.

The previous prime is 242320356947. The next prime is 242320356961. The reversal of 242320356960 is 69653023242.

242320356960 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 not an unprimeable number, because it can be changed into a prime (242320356961) 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 31 ways as a sum of consecutive naturals, for example, 212089 + ... + 727751.

It is an arithmetic number, because the mean of its divisors is an integer number (4385722320).

Almost surely, 2^242320356960 is an apocalyptic number.

242320356960 is a gapful number since it is divisible by the number (20) 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 242320356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421029342720).

242320356960 is an abundant number, since it is smaller than the sum of its proper divisors (599738328480).

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

242320356960 is a wasteful number, since it uses less digits than its factorization.

242320356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515781 (or 515773 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 242320356960 in words is "two hundred forty-two billion, three hundred twenty million, three hundred fifty-six thousand, nine hundred sixty".