242881968 has 80 divisors (see below), whose sum is σ = 727850240. Its totient is φ = 68352768.

The previous prime is 242881967. The next prime is 242881973. The reversal of 242881968 is 869188242.

242881968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (242881963) 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, 17118 + ... + 27906.

It is an arithmetic number, because the mean of its divisors is an integer number (9098128).

Almost surely, 2^242881968 is an apocalyptic number.

242881968 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 242881968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363925120).

242881968 is an abundant number, since it is smaller than the sum of its proper divisors (484968272).

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

242881968 is a wasteful number, since it uses less digits than its factorization.

242881968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10874 (or 10868 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 242881968 is about 15584.6709301159. The cubic root of 242881968 is about 623.9240949748.

The spelling of 242881968 in words is "two hundred forty-two million, eight hundred eighty-one thousand, nine hundred sixty-eight".