2004115241 has 2 divisors, whose sum is σ = 2004115242. Its totient is φ = 2004115240.

The previous prime is 2004115207. The next prime is 2004115279. The reversal of 2004115241 is 1425114002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1918089616 + 86025625 = 43796^2 + 9275^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004115241 - 2⁶ = 2004115177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2004118241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002057620 + 1002057621.

It is an arithmetic number, because the mean of its divisors is an integer number (1002057621).

Almost surely, 2^2004115241 is an apocalyptic number.

It is an amenable number.

2004115241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004115241 is an equidigital number, since it uses as much as digits as its factorization.

2004115241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2004115241 is about 44767.3456997397. The cubic root of 2004115241 is about 1260.7846043365.

Adding to 2004115241 its reverse (1425114002), we get a palindrome (3429229243).

The spelling of 2004115241 in words is "two billion, four million, one hundred fifteen thousand, two hundred forty-one".