2004625116 has 72 divisors (see below), whose sum is σ = 5645246880. Its totient is φ = 595534464.

The previous prime is 2004625093. The next prime is 2004625121. The reversal of 2004625116 is 6115264002.

2004625116 is a `hidden beast` number, since 20 + 0 + 4 + 625 + 1 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2004625116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60280 + ... + 87423.

Almost surely, 2^2004625116 is an apocalyptic number.

2004625116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2004625116 is an abundant number, since it is smaller than the sum of its proper divisors (3640621764).

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

2004625116 is a wasteful number, since it uses less digits than its factorization.

2004625116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147755 (or 147750 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2004625116 is about 44773.0400576061. The cubic root of 2004625116 is about 1260.8915156938.

Adding to 2004625116 its reverse (6115264002), we get a palindrome (8119889118).

The spelling of 2004625116 in words is "two billion, four million, six hundred twenty-five thousand, one hundred sixteen".