242715720 has 128 divisors (see below), whose sum is σ = 789949440. Its totient is φ = 59304960.

The previous prime is 242715719. The next prime is 242715731. The reversal of 242715720 is 27517242.

242715720 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244425 + ... + 245415.

It is an arithmetic number, because the mean of its divisors is an integer number (6171480).

Almost surely, 2^242715720 is an apocalyptic number.

242715720 is a gapful number since it is divisible by the number (20) 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 242715720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394974720).

242715720 is an abundant number, since it is smaller than the sum of its proper divisors (547233720).

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

242715720 is a wasteful number, since it uses less digits than its factorization.

242715720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 242715720 is about 15579.3363144904. The cubic root of 242715720 is about 623.7817078324.

The spelling of 242715720 in words is "two hundred forty-two million, seven hundred fifteen thousand, seven hundred twenty".