2811000200 has 108 divisors (see below), whose sum is σ = 6874257285. Its totient is φ = 1068914880.

The previous prime is 2811000193. The next prime is 2811000217. The reversal of 2811000200 is 20001182.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2754780196 + 56220004 = 52486^2 + 7498^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=37490.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17245319 + ... + 17245481.

Almost surely, 2^2811000200 is an apocalyptic number.

2811000200 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 2811000200

2811000200 is an abundant number, since it is smaller than the sum of its proper divisors (4063257085).

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

2811000200 is a wasteful number, since it uses less digits than its factorization.

2811000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2811000200 is about 53018.8664533673. The cubic root of 2811000200 is about 1411.3030892262.

Multiplying 2811000200 by its product of nonzero digits (32), we get a square (89952006400 = 299920²).

Adding to 2811000200 its reverse (20001182), we get a palindrome (2831001382).

The spelling of 2811000200 in words is "two billion, eight hundred eleven million, two hundred", and thus it is an aban number.