2011800 has 96 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 458880.

The previous prime is 2011799. The next prime is 2011811. The reversal of 2011800 is 81102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3961 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

2^2011800 is an apocalyptic number.

2011800 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 2011800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2011800 is an abundant number, since it is smaller than the sum of its proper divisors (5130600).

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

2011800 is a wasteful number, since it uses less digits than its factorization.

2011800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2011800 is about 1418.3793568718. The cubic root of 2011800 is about 126.2394037442.

Adding to 2011800 its reverse (81102), we get a palindrome (2092902).

The spelling of 2011800 in words is "two million, eleven thousand, eight hundred".