242939582880 has 192 divisors, whose sum is σ = 818009756928. Its totient is φ = 60455690240.

The previous prime is 242939582803. The next prime is 242939582911. The reversal of 242939582880 is 88285939242.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184282 + ... + 720998.

It is an arithmetic number, because the mean of its divisors is an integer number (4260467484).

Almost surely, 2^242939582880 is an apocalyptic number.

242939582880 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 242939582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409004878464).

242939582880 is an abundant number, since it is smaller than the sum of its proper divisors (575070174048).

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

242939582880 is a wasteful number, since it uses less digits than its factorization.

242939582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536799 (or 536791 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 242939582880 in words is "two hundred forty-two billion, nine hundred thirty-nine million, five hundred eighty-two thousand, eight hundred eighty".