242804117904 has 80 divisors (see below), whose sum is σ = 634711262784. Its totient is φ = 79975526400.

The previous prime is 242804117891. The next prime is 242804117971. The reversal of 242804117904 is 409711408242.

It is a super-2 number, since 2×242804117904² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1727724 + ... + 1862964.

Almost surely, 2^242804117904 is an apocalyptic number.

242804117904 is a gapful number since it is divisible by the number (24) 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 242804117904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317355631392).

242804117904 is an abundant number, since it is smaller than the sum of its proper divisors (391907144880).

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

242804117904 is a wasteful number, since it uses less digits than its factorization.

242804117904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135696 (or 135690 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 242804117904 in words is "two hundred forty-two billion, eight hundred four million, one hundred seventeen thousand, nine hundred four".