2018201800 has 96 divisors (see below), whose sum is σ = 4796065800. Its totient is φ = 789626880.

The previous prime is 2018201791. The next prime is 2018201813. The reversal of 2018201800 is 81028102.

It can be written as a sum of positive squares in 12 ways, for example, as 104489284 + 1913712516 = 10222^2 + 43746^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1999696 + ... + 2000704.

Almost surely, 2^2018201800 is an apocalyptic number.

2018201800 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 2018201800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398032900).

2018201800 is an abundant number, since it is smaller than the sum of its proper divisors (2777864000).

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

2018201800 is a wasteful number, since it uses less digits than its factorization.

2018201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 2018201800 is about 44924.4009420270. The cubic root of 2018201800 is about 1263.7316516939.

Adding to 2018201800 its reverse (81028102), we get a palindrome (2099229902).

It can be divided in two parts, 2018 and 201800, that multiplied together give a square (407232400 = 20180²).

The spelling of 2018201800 in words is "two billion, eighteen million, two hundred one thousand, eight hundred".