242365768104 has 64 divisors (see below), whose sum is σ = 625983137280. Its totient is φ = 78117120000.

The previous prime is 242365768103. The next prime is 242365768109. The reversal of 242365768104 is 401867563242.

It is not an unprimeable number, because it can be changed into a prime (242365768103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757924 + ... + 1029164.

It is an arithmetic number, because the mean of its divisors is an integer number (9780986520).

Almost surely, 2^242365768104 is an apocalyptic number.

242365768104 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 242365768104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312991568640).

242365768104 is an abundant number, since it is smaller than the sum of its proper divisors (383617369176).

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

242365768104 is a wasteful number, since it uses less digits than its factorization.

242365768104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272482 (or 272478 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 242365768104 in words is "two hundred forty-two billion, three hundred sixty-five million, seven hundred sixty-eight thousand, one hundred four".