242131968 has 264 divisors, whose sum is σ = 786834048. Its totient is φ = 71221248.

The previous prime is 242131963. The next prime is 242131987. The reversal of 242131968 is 869131242.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (20736) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (242131963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5151721 + ... + 5151767.

It is an arithmetic number, because the mean of its divisors is an integer number (2980432).

Almost surely, 2^242131968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393417024).

242131968 is an abundant number, since it is smaller than the sum of its proper divisors (544702080).

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

242131968 is a wasteful number, since it uses less digits than its factorization.

242131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 242131968 is about 15560.5902201684. The cubic root of 242131968 is about 623.2812236521.

The spelling of 242131968 in words is "two hundred forty-two million, one hundred thirty-one thousand, nine hundred sixty-eight".