242350304000 has 288 divisors, whose sum is σ = 692350678656. Its totient is φ = 82805145600.

The previous prime is 242350303999. The next prime is 242350304047. The reversal of 242350304000 is 403053242.

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, 71006294 + ... + 71009706.

It is an arithmetic number, because the mean of its divisors is an integer number (2403995412).

Almost surely, 2^242350304000 is an apocalyptic number.

242350304000 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 242350304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346175339328).

242350304000 is an abundant number, since it is smaller than the sum of its proper divisors (450000374656).

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

242350304000 is an equidigital number, since it uses as much as digits as its factorization.

242350304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 242350304000 its reverse (403053242), we get a palindrome (242753357242).

The spelling of 242350304000 in words is "two hundred forty-two billion, three hundred fifty million, three hundred four thousand".