2004402420017 has 2 divisors, whose sum is σ = 2004402420018. Its totient is φ = 2004402420016.

The previous prime is 2004402419977. The next prime is 2004402420029. The reversal of 2004402420017 is 7100242044002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1485939058081 + 518463361936 = 1218991^2 + 720044^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004402420017 - 2³⁶ = 1935682943281 is a prime.

It is a super-2 number, since 2×2004402420017² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2004402423017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002201210008 + 1002201210009.

It is an arithmetic number, because the mean of its divisors is an integer number (1002201210009).

Almost surely, 2^{2004402420017} is an apocalyptic number.

It is an amenable number.

2004402420017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004402420017 is an equidigital number, since it uses as much as digits as its factorization.

2004402420017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 26.

Adding to 2004402420017 its reverse (7100242044002), we get a palindrome (9104644464019).

The spelling of 2004402420017 in words is "two trillion, four billion, four hundred two million, four hundred twenty thousand, seventeen".