242434505434242 has 256 divisors, whose sum is σ = 569590076030976. Its totient is φ = 68625431494400.

The previous prime is 242434505434241. The next prime is 242434505434243.

242434505434242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (242434505434241) and next prime (242434505434243).

It is a super-2 number, since 2×242434505434242² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242434505434191 and 242434505434200.

It is not an unprimeable number, because it can be changed into a prime (242434505434241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3979720768 + ... + 3979781684.

It is an arithmetic number, because the mean of its divisors is an integer number (2224961234496).

Almost surely, 2^{242434505434242} is an apocalyptic number.

242434505434242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242434505434242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284795038015488).

242434505434242 is an abundant number, since it is smaller than the sum of its proper divisors (327155570596734).

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

242434505434242 is a wasteful number, since it uses less digits than its factorization.

242434505434242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61486 (or 61464 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 48.

It can be divided in two parts, 24243450 and 5434242, that added together give a palindrome (29677692).

The spelling of 242434505434242 in words is "two hundred forty-two trillion, four hundred thirty-four billion, five hundred five million, four hundred thirty-four thousand, two hundred forty-two".