242330344200 has 576 divisors, whose sum is σ = 975018844800. Its totient is φ = 52777267200.

The previous prime is 242330344147. The next prime is 242330344271. The reversal of 242330344200 is 2443033242.

242330344200 is a `hidden beast` number, since 2 + 4 + 233 + 0 + 3 + 4 + 420 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22208346 + ... + 22219254.

It is an arithmetic number, because the mean of its divisors is an integer number (1692741050).

Almost surely, 2^242330344200 is an apocalyptic number.

242330344200 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 242330344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487509422400).

242330344200 is an abundant number, since it is smaller than the sum of its proper divisors (732688500600).

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

242330344200 is a wasteful number, since it uses less digits than its factorization.

242330344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 242330344200 its reverse (2443033242), we get a palindrome (244773377442).

The spelling of 242330344200 in words is "two hundred forty-two billion, three hundred thirty million, three hundred forty-four thousand, two hundred".