2018131200 has 540 divisors, whose sum is σ = 7935390540. Its totient is φ = 504299520.

The previous prime is 2018131177. The next prime is 2018131229. The reversal of 2018131200 is 21318102.

It can be written as a sum of positive squares in 6 ways, for example, as 139428864 + 1878702336 = 11808^2 + 43344^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812686 + ... + 8812914.

Almost surely, 2^2018131200 is an apocalyptic number.

2018131200 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 2018131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967695270).

2018131200 is an abundant number, since it is smaller than the sum of its proper divisors (5917259340).

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

2018131200 is a wasteful number, since it uses less digits than its factorization.

2018131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2018131200 is about 44923.6151706427. The cubic root of 2018131200 is about 1263.7169157220.

Adding to 2018131200 its reverse (21318102), we get a palindrome (2039449302).

The spelling of 2018131200 in words is "two billion, eighteen million, one hundred thirty-one thousand, two hundred".