2109800 has 96 divisors (see below), whose sum is σ = 6160320. Its totient is φ = 652800.

The previous prime is 2109799. The next prime is 2109841. The reversal of 2109800 is 89012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15332 + ... + 15468.

It is an arithmetic number, because the mean of its divisors is an integer number (64170).

2^2109800 is an apocalyptic number.

2109800 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 2109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080160).

2109800 is an abundant number, since it is smaller than the sum of its proper divisors (4050520).

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

2109800 is a wasteful number, since it uses less digits than its factorization.

2109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2109800 is about 1452.5150601629. The cubic root of 2109800 is about 128.2568086345.

The spelling of 2109800 in words is "two million, one hundred nine thousand, eight hundred".