242804408242 has 48 divisors (see below), whose sum is σ = 405803827800. Its totient is φ = 108863744000.

The previous prime is 242804408237. The next prime is 242804408243.

It is a happy number.

242804408242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 228636029281 + 14168378961 = 478159^2 + 119031^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242804408195 and 242804408204.

It is not an unprimeable number, because it can be changed into a prime (242804408243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6556434 + ... + 6593362.

Almost surely, 2^242804408242 is an apocalyptic number.

242804408242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242804408242 is a deficient number, since it is larger than the sum of its proper divisors (162999419558).

242804408242 is a wasteful number, since it uses less digits than its factorization.

242804408242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37323 (or 37312 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 242804408242 in words is "two hundred forty-two billion, eight hundred four million, four hundred eight thousand, two hundred forty-two".