242005826080 has 48 divisors (see below), whose sum is σ = 571809490560. Its totient is φ = 96790355712.

The previous prime is 242005826077. The next prime is 242005826099. The reversal of 242005826080 is 80628500242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265401 + ... + 1444039.

It is an arithmetic number, because the mean of its divisors is an integer number (11912697720).

Almost surely, 2^242005826080 is an apocalyptic number.

242005826080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242005826080 is an abundant number, since it is smaller than the sum of its proper divisors (329803664480).

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

242005826080 is a wasteful number, since it uses less digits than its factorization.

242005826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187121 (or 187113 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 242005826080 in words is "two hundred forty-two billion, five million, eight hundred twenty-six thousand, eighty".