242342720 has 112 divisors (see below), whose sum is σ = 634227840. Its totient is φ = 87791616.

The previous prime is 242342713. The next prime is 242342729. The reversal of 242342720 is 27243242.

242342720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242342720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242342729) 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, 138974 + ... + 140706.

Almost surely, 2^242342720 is an apocalyptic number.

242342720 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 242342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317113920).

242342720 is an abundant number, since it is smaller than the sum of its proper divisors (391885120).

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

242342720 is a wasteful number, since it uses less digits than its factorization.

242342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 242342720 is about 15567.3607268541. The cubic root of 242342720 is about 623.4620061577.

Adding to 242342720 its reverse (27243242), we get a palindrome (269585962).

The spelling of 242342720 in words is "two hundred forty-two million, three hundred forty-two thousand, seven hundred twenty".