2004768 has 36 divisors (see below), whose sum is σ = 5701878. Its totient is φ = 668160.

The previous prime is 2004763. The next prime is 2004773. The reversal of 2004768 is 8674002.

It is an interprime number because it is at equal distance from previous prime (2004763) and next prime (2004773).

It can be written as a sum of positive squares in only one way, i.e., 1468944 + 535824 = 1212^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2004763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3193 + ... + 3768.

2^2004768 is an apocalyptic number.

It is an amenable number.

2004768 is an abundant number, since it is smaller than the sum of its proper divisors (3697110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004768 is a wasteful number, since it uses less digits than its factorization.

2004768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2004768 is about 1415.8983014327. The cubic root of 2004768 is about 126.0921472574.

It can be divided in two parts, 2004 and 768, that added together give a palindrome (2772).

The spelling of 2004768 in words is "two million, four thousand, seven hundred sixty-eight".