2009800 has 48 divisors (see below), whose sum is σ = 5038740. Its totient is φ = 741120.

The previous prime is 2009789. The next prime is 2009807. The reversal of 2009800 is 89002.

It can be written as a sum of positive squares in 6 ways, for example, as 66564 + 1943236 = 258^2 + 1394^2 .

It is not an unprimeable number, because it can be changed into a prime (2009807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214 + ... + 2986.

2^2009800 is an apocalyptic number.

2009800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519370).

2009800 is an abundant number, since it is smaller than the sum of its proper divisors (3028940).

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

2009800 is a wasteful number, since it uses less digits than its factorization.

2009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2009800 is about 1417.6741515595. The cubic root of 2009800 is about 126.1975568874.

It can be divided in two parts, 2009 and 800, that added together give a square (2809 = 53²).

The spelling of 2009800 in words is "two million, nine thousand, eight hundred".