242585946600 has 96 divisors (see below), whose sum is σ = 791596284000. Its totient is φ = 61284867840.

The previous prime is 242585946599. The next prime is 242585946613. The reversal of 242585946600 is 6649585242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10628335 + ... + 10651134.

It is an arithmetic number, because the mean of its divisors is an integer number (8245794625).

Almost surely, 2^242585946600 is an apocalyptic number.

242585946600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242585946600 is an abundant number, since it is smaller than the sum of its proper divisors (549010337400).

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

242585946600 is a wasteful number, since it uses less digits than its factorization.

242585946600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21279507 (or 21279498 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 242585946600 in words is "two hundred forty-two billion, five hundred eighty-five million, nine hundred forty-six thousand, six hundred".