242904306200 has 96 divisors (see below), whose sum is σ = 598373710560. Its totient is φ = 91385088000.

The previous prime is 242904306137. The next prime is 242904306223. The reversal of 242904306200 is 2603409242.

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, 5223050 + ... + 5269350.

It is an arithmetic number, because the mean of its divisors is an integer number (6233059485).

Almost surely, 2^242904306200 is an apocalyptic number.

242904306200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242904306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299186855280).

242904306200 is an abundant number, since it is smaller than the sum of its proper divisors (355469404360).

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

242904306200 is a wasteful number, since it uses less digits than its factorization.

242904306200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47877 (or 47868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 242904306200 in words is "two hundred forty-two billion, nine hundred four million, three hundred six thousand, two hundred".