242910720 has 240 divisors, whose sum is σ = 907098192. Its totient is φ = 59719680.

The previous prime is 242910683. The next prime is 242910721. The reversal of 242910720 is 27019242.

242910720 is digitally balanced in base 3, because in such base 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 (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242910721) 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, 299115 + ... + 299925.

Almost surely, 2^242910720 is an apocalyptic number.

242910720 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 242910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453549096).

242910720 is an abundant number, since it is smaller than the sum of its proper divisors (664187472).

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

242910720 is a wasteful number, since it uses less digits than its factorization.

242910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 242910720 is about 15585.5933477042. The cubic root of 242910720 is about 623.9487137336.

Adding to 242910720 its reverse (27019242), we get a palindrome (269929962).

The spelling of 242910720 in words is "two hundred forty-two million, nine hundred ten thousand, seven hundred twenty".