242404406200 has 72 divisors (see below), whose sum is σ = 619483553640. Its totient is φ = 88147048000.

The previous prime is 242404406177. The next prime is 242404406249. The reversal of 242404406200 is 2604404242.

242404406200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242404406200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4984156 + ... + 5032555.

It is an arithmetic number, because the mean of its divisors is an integer number (8603938245).

Almost surely, 2^242404406200 is an apocalyptic number.

242404406200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242404406200 is an abundant number, since it is smaller than the sum of its proper divisors (377079147440).

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

242404406200 is a wasteful number, since it uses less digits than its factorization.

242404406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016749 (or 10016729 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 242404406200 in words is "two hundred forty-two billion, four hundred four million, four hundred six thousand, two hundred".