2181042200 has 96 divisors (see below), whose sum is σ = 5542680960. Its totient is φ = 794572800.

The previous prime is 2181042181. The next prime is 2181042209. The reversal of 2181042200 is 22401812.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181042209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95054 + ... + 115746.

It is an arithmetic number, because the mean of its divisors is an integer number (57736260).

Almost surely, 2^2181042200 is an apocalyptic number.

2181042200 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 2181042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771340480).

2181042200 is an abundant number, since it is smaller than the sum of its proper divisors (3361638760).

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

2181042200 is a wasteful number, since it uses less digits than its factorization.

2181042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20757 (or 20748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2181042200 is about 46701.6295218914. The cubic root of 2181042200 is about 1296.8448534726.

The spelling of 2181042200 in words is "two billion, one hundred eighty-one million, forty-two thousand, two hundred".