2004008919 has 32 divisors (see below), whose sum is σ = 3016163328. Its totient is φ = 1172556000.

The previous prime is 2004008899. The next prime is 2004008933. The reversal of 2004008919 is 9198004002.

It is not a de Polignac number, because 2004008919 - 2¹³ = 2004000727 is a prime.

It is a super-2 number, since 2×2004008919² = 8032103494863097122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 2004008919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004008959) 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 in 31 ways as a sum of consecutive naturals, for example, 471534 + ... + 475764.

It is an arithmetic number, because the mean of its divisors is an integer number (94255104).

Almost surely, 2^2004008919 is an apocalyptic number.

2004008919 is a deficient number, since it is larger than the sum of its proper divisors (1012154409).

2004008919 is a wasteful number, since it uses less digits than its factorization.

2004008919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2004008919 is about 44766.1581889713. The cubic root of 2004008919 is about 1260.7623082948.

The spelling of 2004008919 in words is "two billion, four million, eight thousand, nine hundred nineteen".