2004404201 has 2 divisors, whose sum is σ = 2004404202. Its totient is φ = 2004404200.

The previous prime is 2004404189. The next prime is 2004404203. The reversal of 2004404201 is 1024044002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1674037225 + 330366976 = 40915^2 + 18176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2004404201 is a prime.

Together with 2004404203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2004404201.

It is not a weakly prime, because it can be changed into another prime (2004404203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002202100 + 1002202101.

It is an arithmetic number, because the mean of its divisors is an integer number (1002202101).

Almost surely, 2^2004404201 is an apocalyptic number.

It is an amenable number.

2004404201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004404201 is an equidigital number, since it uses as much as digits as its factorization.

2004404201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2004404201 is about 44770.5729358024. The cubic root of 2004404201 is about 1260.8451961301.

Adding to 2004404201 its reverse (1024044002), we get a palindrome (3028448203).

The spelling of 2004404201 in words is "two billion, four million, four hundred four thousand, two hundred one".