242200205200 has 60 divisors (see below), whose sum is σ = 581957632660. Its totient is φ = 96868154880.

The previous prime is 242200205189. The next prime is 242200205207. The reversal of 242200205200 is 2502002242.

It can be written as a sum of positive squares in 6 ways, for example, as 5190914304 + 237009290896 = 72048^2 + 486836^2 .

It is not an unprimeable number, because it can be changed into a prime (242200205207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3678166 + ... + 3743434.

Almost surely, 2^242200205200 is an apocalyptic number.

242200205200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242200205200 is an abundant number, since it is smaller than the sum of its proper divisors (339757427460).

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

242200205200 is a wasteful number, since it uses less digits than its factorization.

242200205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74564 (or 74553 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 242200205200 its reverse (2502002242), we get a palindrome (244702207442).

The spelling of 242200205200 in words is "two hundred forty-two billion, two hundred million, two hundred five thousand, two hundred".