242144720 has 80 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 93120000.

The previous prime is 242144701. The next prime is 242144731. The reversal of 242144720 is 27441242.

It is a Cunningham number, because it is equal to 15561²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 242144720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622286 + ... + 622674.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^242144720 is an apocalyptic number.

242144720 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 242144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

242144720 is an abundant number, since it is smaller than the sum of its proper divisors (342817840).

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

242144720 is a wasteful number, since it uses less digits than its factorization.

242144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 242144720 is about 15560.9999678684. Note that the first 4 decimals coincide. The cubic root of 242144720 is about 623.2921652648.

Adding to 242144720 its reverse (27441242), we get a palindrome (269585962).

The spelling of 242144720 in words is "two hundred forty-two million, one hundred forty-four thousand, seven hundred twenty".