242718720 has 96 divisors (see below), whose sum is σ = 776608560. Its totient is φ = 64716800.

The previous prime is 242718713. The next prime is 242718727. The reversal of 242718720 is 27817242.

It is an interprime number because it is at equal distance from previous prime (242718713) and next prime (242718727).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242718727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26770 + ... + 34670.

Almost surely, 2^242718720 is an apocalyptic number.

242718720 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 242718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388304280).

242718720 is an abundant number, since it is smaller than the sum of its proper divisors (533889840).

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

242718720 is an equidigital number, since it uses as much as digits as its factorization.

242718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 242718720 is about 15579.4325955729. The cubic root of 242718720 is about 623.7842778313.

The spelling of 242718720 in words is "two hundred forty-two million, seven hundred eighteen thousand, seven hundred twenty".