242320000000 has 352 divisors, whose sum is σ = 654878401632. Its totient is φ = 89088000000.

The previous prime is 242319999989. The next prime is 242320000019. The reversal of 242320000000 is 23242.

It can be written as a sum of positive squares in 16 ways, for example, as 25029771264 + 217290228736 = 158208^2 + 466144^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039999884 + ... + 1040000116.

Almost surely, 2^242320000000 is an apocalyptic number.

242320000000 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 242320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327439200816).

242320000000 is an abundant number, since it is smaller than the sum of its proper divisors (412558401632).

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

242320000000 is an frugal number, since it uses more digits than its factorization.

242320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 242320000000 its reverse (23242), we get a palindrome (242320023242).

The spelling of 242320000000 in words is "two hundred forty-two billion, three hundred twenty million", and thus it is an aban number.