242304000000 has 392 divisors, whose sum is σ = 808900270944. Its totient is φ = 64512000000.

The previous prime is 242303999999. The next prime is 242304000011. The reversal of 242304000000 is 403242.

It is a happy number.

It is a super-2 number, since 2×242304000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 383999685 + ... + 384000315.

Almost surely, 2^242304000000 is an apocalyptic number.

242304000000 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 242304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404450135472).

242304000000 is an abundant number, since it is smaller than the sum of its proper divisors (566596270944).

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

242304000000 is an frugal number, since it uses more digits than its factorization.

242304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 242304000000 its reverse (403242), we get a palindrome (242304403242).

The spelling of 242304000000 in words is "two hundred forty-two billion, three hundred four million", and thus it is an aban number.