2005604116 has 36 divisors (see below), whose sum is σ = 3645840436. Its totient is φ = 965376240.

The previous prime is 2005604113. The next prime is 2005604123. The reversal of 2005604116 is 6114065002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 483824016 + 1521780100 = 21996^2 + 39010^2 .

It is a super-2 number, since 2×2005604116² = 8044895740232282912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005604113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32878726 + ... + 32878786.

Almost surely, 2^2005604116 is an apocalyptic number.

It is an amenable number.

2005604116 is a deficient number, since it is larger than the sum of its proper divisors (1640236320).

2005604116 is an frugal number, since it uses more digits than its factorization.

With its successor (2005604117) it forms an eRAP, since the sums of their prime factors are consecutive (281 and 282).

2005604116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2005604116 is about 44783.9716416488. The cubic root of 2005604116 is about 1261.0967430766.

Adding to 2005604116 its reverse (6114065002), we get a palindrome (8119669118).

The spelling of 2005604116 in words is "two billion, five million, six hundred four thousand, one hundred sixteen".