242556655242 has 64 divisors (see below), whose sum is σ = 535125201408. Its totient is φ = 72682920000.

The previous prime is 242556655219. The next prime is 242556655301.

242556655242 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 242556655191 and 242556655200.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5383693 + ... + 5428559.

It is an arithmetic number, because the mean of its divisors is an integer number (8361331272).

Almost surely, 2^242556655242 is an apocalyptic number.

242556655242 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 242556655242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267562600704).

242556655242 is an abundant number, since it is smaller than the sum of its proper divisors (292568546166).

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

242556655242 is a wasteful number, since it uses less digits than its factorization.

242556655242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45795.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 242556 and 655242, that added together give a palindrome (897798).

The spelling of 242556655242 in words is "two hundred forty-two billion, five hundred fifty-six million, six hundred fifty-five thousand, two hundred forty-two".