242480327760 has 160 divisors (see below), whose sum is σ = 911138290560. Its totient is φ = 58783104000.

The previous prime is 242480327753. The next prime is 242480327773. The reversal of 242480327760 is 67723084242.

242480327760 is a `hidden beast` number, since 2 + 42 + 480 + 3 + 2 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5078941 + ... + 5126460.

It is an arithmetic number, because the mean of its divisors is an integer number (5694614316).

Almost surely, 2^242480327760 is an apocalyptic number.

242480327760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242480327760 is an abundant number, since it is smaller than the sum of its proper divisors (668657962800).

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

242480327760 is a wasteful number, since it uses less digits than its factorization.

242480327760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205434 (or 10205422 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 242480327760 in words is "two hundred forty-two billion, four hundred eighty million, three hundred twenty-seven thousand, seven hundred sixty".