2001609828 has 36 divisors (see below), whose sum is σ = 5068211148. Its totient is φ = 666071040.

The previous prime is 2001609811. The next prime is 2001609839. The reversal of 2001609828 is 8289061002.

2001609828 is a `hidden beast` number, since 20 + 0 + 1 + 609 + 8 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 614643264 + 1386966564 = 24792^2 + 37242^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2001609792 and 2001609801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25533 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (140783643).

Almost surely, 2^2001609828 is an apocalyptic number.

It is an amenable number.

2001609828 is an abundant number, since it is smaller than the sum of its proper divisors (3066601320).

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

2001609828 is a wasteful number, since it uses less digits than its factorization.

2001609828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94364 (or 94359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2001609828 is about 44739.3543538572. The cubic root of 2001609828 is about 1260.2590019343.

The spelling of 2001609828 in words is "two billion, one million, six hundred nine thousand, eight hundred twenty-eight".