242326880 has 48 divisors (see below), whose sum is σ = 574983360. Its totient is φ = 96509952.

The previous prime is 242326879. The next prime is 242326897. The reversal of 242326880 is 88623242.

242326880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242326880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35072 + ... + 41408.

It is an arithmetic number, because the mean of its divisors is an integer number (11978820).

Almost surely, 2^242326880 is an apocalyptic number.

242326880 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 242326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287491680).

242326880 is an abundant number, since it is smaller than the sum of its proper divisors (332656480).

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

242326880 is a wasteful number, since it uses less digits than its factorization.

242326880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 242326880 is about 15566.8519617808. The cubic root of 242326880 is about 623.4484222913.

The spelling of 242326880 in words is "two hundred forty-two million, three hundred twenty-six thousand, eight hundred eighty".