2004082649 has 2 divisors, whose sum is σ = 2004082650. Its totient is φ = 2004082648.

The previous prime is 2004082609. The next prime is 2004082657. The reversal of 2004082649 is 9462804002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1716610624 + 287472025 = 41432^2 + 16955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004082649 - 2²⁴ = 1987305433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2004082609) 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, 1002041324 + 1002041325.

It is an arithmetic number, because the mean of its divisors is an integer number (1002041325).

Almost surely, 2^2004082649 is an apocalyptic number.

It is an amenable number.

2004082649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004082649 is an equidigital number, since it uses as much as digits as its factorization.

2004082649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2004082649 is about 44766.9816829323. The cubic root of 2004082649 is about 1260.7777697804. Note that the first 4 decimals are identical.

The spelling of 2004082649 in words is "two billion, four million, eighty-two thousand, six hundred forty-nine".