242637120 has 560 divisors, whose sum is σ = 1009058688. Its totient is φ = 54743040.

The previous prime is 242637119. The next prime is 242637167. The reversal of 242637120 is 21736242.

242637120 is a `hidden beast` number, since 2 + 4 + 2 + 637 + 1 + 20 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6557742 + ... + 6557778.

Almost surely, 2^242637120 is an apocalyptic number.

242637120 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 242637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504529344).

242637120 is an abundant number, since it is smaller than the sum of its proper divisors (766421568).

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

242637120 is a wasteful number, since it uses less digits than its factorization.

242637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 242637120 is about 15576.8135380764. The cubic root of 242637120 is about 623.7143663136.

The spelling of 242637120 in words is "two hundred forty-two million, six hundred thirty-seven thousand, one hundred twenty".