2004401680 has 20 divisors (see below), whose sum is σ = 4660234092. Its totient is φ = 801760640.

The previous prime is 2004401657. The next prime is 2004401683. The reversal of 2004401680 is 861044002.

It can be written as a sum of positive squares in 2 ways, for example, as 341067024 + 1663334656 = 18468^2 + 40784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2004401683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12527431 + ... + 12527590.

Almost surely, 2^2004401680 is an apocalyptic number.

2004401680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004401680 is an abundant number, since it is smaller than the sum of its proper divisors (2655832412).

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

2004401680 is a wasteful number, since it uses less digits than its factorization.

2004401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25055034 (or 25055028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2004401680 is about 44770.5447811393. The cubic root of 2004401680 is about 1260.8446675288.

Adding to 2004401680 its reverse (861044002), we get a palindrome (2865445682).

The spelling of 2004401680 in words is "two billion, four million, four hundred one thousand, six hundred eighty".