2005128 has 32 divisors (see below), whose sum is σ = 5570400. Its totient is φ = 668304.

The previous prime is 2005121. The next prime is 2005139. The reversal of 2005128 is 8215002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2005128.

It is not an unprimeable number, because it can be changed into a prime (2005121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4426 + ... + 4857.

It is an arithmetic number, because the mean of its divisors is an integer number (174075).

2^2005128 is an apocalyptic number.

It is an amenable number.

2005128 is an abundant number, since it is smaller than the sum of its proper divisors (3565272).

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

2005128 is a wasteful number, since it uses less digits than its factorization.

2005128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2005128 is about 1416.0254235006. The cubic root of 2005128 is about 126.0996943412.

The spelling of 2005128 in words is "two million, five thousand, one hundred twenty-eight".