242101340320 has 288 divisors, whose sum is σ = 689659019280. Its totient is φ = 79984558080.

The previous prime is 242101340293. The next prime is 242101340329. The reversal of 242101340320 is 23043101242.

It can be written as a sum of positive squares in 8 ways, for example, as 165587141776 + 76514198544 = 406924^2 + 276612^2 .

It is a super-2 number, since 2×242101340320² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242101340291 and 242101340300.

It is not an unprimeable number, because it can be changed into a prime (242101340329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186661912 + ... + 186663208.

Almost surely, 2^242101340320 is an apocalyptic number.

242101340320 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 242101340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344829509640).

242101340320 is an abundant number, since it is smaller than the sum of its proper divisors (447557678960).

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

242101340320 is a wasteful number, since it uses less digits than its factorization.

242101340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 242101340320 its reverse (23043101242), we get a palindrome (265144441562).

The spelling of 242101340320 in words is "two hundred forty-two billion, one hundred one million, three hundred forty thousand, three hundred twenty".