242184768 has 112 divisors (see below), whose sum is σ = 735811584. Its totient is φ = 68866560.

The previous prime is 242184751. The next prime is 242184781. The reversal of 242184768 is 867481242.

242184768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 493003 + ... + 493493.

Almost surely, 2^242184768 is an apocalyptic number.

242184768 is a gapful number since it is divisible by the number (28) 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 242184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367905792).

242184768 is an abundant number, since it is smaller than the sum of its proper divisors (493626816).

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

242184768 is a wasteful number, since it uses less digits than its factorization.

242184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 870 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 242184768 is about 15562.2867214301. The cubic root of 242184768 is about 623.3265251972.

The spelling of 242184768 in words is "two hundred forty-two million, one hundred eighty-four thousand, seven hundred sixty-eight".