242739947520 has 720 divisors, whose sum is σ = 982344816180. Its totient is φ = 55432839168.

The previous prime is 242739947507. The next prime is 242739947521. The reversal of 242739947520 is 25749937242.

It is a happy number.

242739947520 is a `hidden beast` number, since 2 + 4 + 2 + 73 + 9 + 9 + 47 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234751878144 + 7988069376 = 484512^2 + 89376^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (242739947521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221275612 + ... + 221276708.

Almost surely, 2^242739947520 is an apocalyptic number.

242739947520 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 242739947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491172408090).

242739947520 is an abundant number, since it is smaller than the sum of its proper divisors (739604868660).

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

242739947520 is an equidigital number, since it uses as much as digits as its factorization.

242739947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 242739947520 in words is "two hundred forty-two billion, seven hundred thirty-nine million, nine hundred forty-seven thousand, five hundred twenty".