242332400205 has 96 divisors (see below), whose sum is σ = 491753852928. Its totient is φ = 108093744000.

The previous prime is 242332400179. The next prime is 242332400221. The reversal of 242332400205 is 502004233242.

It is a happy number.

242332400205 is a `hidden beast` number, since 2 + 4 + 23 + 32 + 400 + 205 = 666.

242332400205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242332400205 - 2⁷ = 242332400077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4875730 + ... + 4925180.

It is an arithmetic number, because the mean of its divisors is an integer number (5122435968).

Almost surely, 2^242332400205 is an apocalyptic number.

It is an amenable number.

242332400205 is an abundant number, since it is smaller than the sum of its proper divisors (249421452723).

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

242332400205 is a wasteful number, since it uses less digits than its factorization.

242332400205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49847 (or 49844 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 242332400205 its reverse (502004233242), we get a palindrome (744336633447).

The spelling of 242332400205 in words is "two hundred forty-two billion, three hundred thirty-two million, four hundred thousand, two hundred five".