2004084289 has 9 divisors (see below), whose sum is σ = 2030892643. Its totient is φ = 1977626992.

The previous prime is 2004084281. The next prime is 2004084367. The reversal of 2004084289 is 9824804002.

The square root of 2004084289 is 44767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 384826689 + 1619257600 = 19617^2 + 40240^2 .

It is not a de Polignac number, because 2004084289 - 2³ = 2004084281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004084281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3984012 + ... + 3984514.

Almost surely, 2^2004084289 is an apocalyptic number.

2004084289 is the 44767-th square number.

2004084289 is the 22384-th centered octagonal number.

It is an amenable number.

2004084289 is a deficient number, since it is larger than the sum of its proper divisors (26808354).

2004084289 is an frugal number, since it uses more digits than its factorization.

2004084289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The cubic root of 2004084289 is about 1260.7781136908.

Multiplying 2004084289 by its product of nonzero digits (36864), we get a square (73878563229696 = 8595264²).

It can be divided in two parts, 20040 and 84289, that added together give a square (104329 = 323²).

The spelling of 2004084289 in words is "two billion, four million, eighty-four thousand, two hundred eighty-nine".