242835881160 has 128 divisors (see below), whose sum is σ = 743881294080. Its totient is φ = 63402651648.

The previous prime is 242835881153. The next prime is 242835881177. The reversal of 242835881160 is 61188538242.

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, 1098949 + ... + 1301291.

It is an arithmetic number, because the mean of its divisors is an integer number (5811572610).

Almost surely, 2^242835881160 is an apocalyptic number.

242835881160 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 242835881160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371940647040).

242835881160 is an abundant number, since it is smaller than the sum of its proper divisors (501045412920).

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

242835881160 is a wasteful number, since it uses less digits than its factorization.

242835881160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202567 (or 202563 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 242835881160 in words is "two hundred forty-two billion, eight hundred thirty-five million, eight hundred eighty-one thousand, one hundred sixty".