242018165760 has 704 divisors, whose sum is σ = 916846387200. Its totient is φ = 54455009280.

The previous prime is 242018165717. The next prime is 242018165771. The reversal of 242018165760 is 67561810242.

It is a happy number.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374061757 + ... + 374062403.

Almost surely, 2^242018165760 is an apocalyptic number.

242018165760 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 242018165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458423193600).

242018165760 is an abundant number, since it is smaller than the sum of its proper divisors (674828221440).

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

242018165760 is an equidigital number, since it uses as much as digits as its factorization.

242018165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 242018165760 in words is "two hundred forty-two billion, eighteen million, one hundred sixty-five thousand, seven hundred sixty".