242361604320 has 192 divisors, whose sum is σ = 881833671936. Its totient is φ = 55298170880.

The previous prime is 242361604301. The next prime is 242361604349. The reversal of 242361604320 is 23406163242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260294 + ... + 1439813.

It is an arithmetic number, because the mean of its divisors is an integer number (4592883708).

Almost surely, 2^242361604320 is an apocalyptic number.

242361604320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242361604320 is an abundant number, since it is smaller than the sum of its proper divisors (639472067616).

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

242361604320 is a wasteful number, since it uses less digits than its factorization.

242361604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700153 (or 2700145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 242361604320 its reverse (23406163242), we get a palindrome (265767767562).

The spelling of 242361604320 in words is "two hundred forty-two billion, three hundred sixty-one million, six hundred four thousand, three hundred twenty".