242242242242 has 128 divisors (see below), whose sum is σ = 496825007616. Its totient is φ = 86248800000.

The previous prime is 242242242217. The next prime is 242242242247.

242242242242 is nontrivially palindromic in base 10.

242242242242 is a modest number, since divided by 242242242 gives 242 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 242242242199 and 242242242208.

It is not an unprimeable number, because it can be changed into a prime (242242242247) 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 63 ways as a sum of consecutive naturals, for example, 24461492 + ... + 24471392.

It is an arithmetic number, because the mean of its divisors is an integer number (3881445372).

Almost surely, 2^242242242242 is an apocalyptic number.

242242242242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242242242242 is an abundant number, since it is smaller than the sum of its proper divisors (254582765374).

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

242242242242 is a wasteful number, since it uses less digits than its factorization.

242242242242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10035 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

It can be divided in two parts, 242242 and 242242, that added together give a palindrome (484484).

The spelling of 242242242242 in words is "two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred forty-two".