242335605200 has 120 divisors (see below), whose sum is σ = 663879180888. Its totient is φ = 84214333440.

The previous prime is 242335605199. The next prime is 242335605223. The reversal of 242335605200 is 2506533242.

It can be written as a sum of positive squares in 12 ways, for example, as 51391076416 + 190944528784 = 226696^2 + 436972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282277 + ... + 1459076.

Almost surely, 2^242335605200 is an apocalyptic number.

242335605200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242335605200 is an abundant number, since it is smaller than the sum of its proper divisors (421543575688).

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

242335605200 is a wasteful number, since it uses less digits than its factorization.

242335605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741401 (or 2741390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 242335605200 in words is "two hundred forty-two billion, three hundred thirty-five million, six hundred five thousand, two hundred".