242182126920 has 64 divisors (see below), whose sum is σ = 726950442240. Its totient is φ = 64545984000.

The previous prime is 242182126913. The next prime is 242182126961. The reversal of 242182126920 is 29621281242.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344176 + ... + 776415.

It is an arithmetic number, because the mean of its divisors is an integer number (11358600660).

Almost surely, 2^242182126920 is an apocalyptic number.

242182126920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242182126920 is an abundant number, since it is smaller than the sum of its proper divisors (484768315320).

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

242182126920 is a wasteful number, since it uses less digits than its factorization.

242182126920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122406 (or 1122402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 242182126920 in words is "two hundred forty-two billion, one hundred eighty-two million, one hundred twenty-six thousand, nine hundred twenty".