2004030413 has 16 divisors (see below), whose sum is σ = 2584690560. Its totient is φ = 1507732800.

The previous prime is 2004030373. The next prime is 2004030421. The reversal of 2004030413 is 3140304002.

It is not a de Polignac number, because 2004030413 - 2¹⁸ = 2003768269 is a prime.

It is a super-2 number, since 2×2004030413² = 8032275792457901138, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2004030391 and 2004030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004030493) 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 in 15 ways as a sum of consecutive naturals, for example, 446498 + ... + 450963.

It is an arithmetic number, because the mean of its divisors is an integer number (161543160).

Almost surely, 2^2004030413 is an apocalyptic number.

It is an amenable number.

2004030413 is a deficient number, since it is larger than the sum of its proper divisors (580660147).

2004030413 is a wasteful number, since it uses less digits than its factorization.

2004030413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897508.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2004030413 is about 44766.3982580685. The cubic root of 2004030413 is about 1260.7668157145.

Adding to 2004030413 its reverse (3140304002), we get a palindrome (5144334415).

The spelling of 2004030413 in words is "two billion, four million, thirty thousand, four hundred thirteen".