2000289904 has 80 divisors (see below), whose sum is σ = 4337534880. Its totient is φ = 888053760.

The previous prime is 2000289901. The next prime is 2000289913. The reversal of 2000289904 is 4099820002.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 2000289904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000289901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513564 + ... + 1514884.

It is an arithmetic number, because the mean of its divisors is an integer number (54219186).

Almost surely, 2^2000289904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168767440).

2000289904 is an abundant number, since it is smaller than the sum of its proper divisors (2337244976).

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

2000289904 is a wasteful number, since it uses less digits than its factorization.

2000289904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2000289904 is about 44724.6006578035. The cubic root of 2000289904 is about 1259.9819229791.

The spelling of 2000289904 in words is "two billion, two hundred eighty-nine thousand, nine hundred four".