242415514242 has 72 divisors (see below), whose sum is σ = 577461240720. Its totient is φ = 73441645200.

The previous prime is 242415514183. The next prime is 242415514249.

242415514242 is a `hidden beast` number, since 2 + 4 + 24 + 1 + 551 + 42 + 42 = 666.

242415514242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242415514197 and 242415514206.

It is not an unprimeable number, because it can be changed into a prime (242415514249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11269117 + ... + 11290607.

It is an arithmetic number, because the mean of its divisors is an integer number (8020295010).

Almost surely, 2^242415514242 is an apocalyptic number.

242415514242 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 242415514242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288730620360).

242415514242 is an abundant number, since it is smaller than the sum of its proper divisors (335045726478).

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

242415514242 is a wasteful number, since it uses less digits than its factorization.

242415514242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26700 (or 26686 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 242415 and 514242, that added together give a palindrome (756657).

The spelling of 242415514242 in words is "two hundred forty-two billion, four hundred fifteen million, five hundred fourteen thousand, two hundred forty-two".