242345420240 has 160 divisors (see below), whose sum is σ = 707851837440. Its totient is φ = 74959372800.

The previous prime is 242345420209. The next prime is 242345420243. The reversal of 242345420240 is 42024543242.

242345420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242345420240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242345420197 and 242345420206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242345420243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656801 + ... + 957119.

It is an arithmetic number, because the mean of its divisors is an integer number (4424073984).

Almost surely, 2^242345420240 is an apocalyptic number.

242345420240 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 242345420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353925918720).

242345420240 is an abundant number, since it is smaller than the sum of its proper divisors (465506417200).

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

242345420240 is a wasteful number, since it uses less digits than its factorization.

242345420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300481 (or 300475 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 242345420240 its reverse (42024543242), we get a palindrome (284369963482).

The spelling of 242345420240 in words is "two hundred forty-two billion, three hundred forty-five million, four hundred twenty thousand, two hundred forty".