2004964 has 12 divisors (see below), whose sum is σ = 3778684. Its totient is φ = 925344.

The previous prime is 2004953. The next prime is 2004983. The reversal of 2004964 is 4694002.

2004964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 1542564 = 680^2 + 1242^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19227 + ... + 19330.

2^2004964 is an apocalyptic number.

It is an amenable number.

2004964 is a deficient number, since it is larger than the sum of its proper divisors (1773720).

2004964 is a wasteful number, since it uses less digits than its factorization.

2004964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38574 (or 38572 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2004964 is about 1415.9675137516. The cubic root of 2004964 is about 126.0962563373.

Adding to 2004964 its reverse (4694002), we get a palindrome (6698966).

The spelling of 2004964 in words is "two million, four thousand, nine hundred sixty-four".