2010011200 has 84 divisors (see below), whose sum is σ = 5013926980. Its totient is φ = 792944640.

The previous prime is 2010011153. The next prime is 2010011219. The reversal of 2010011200 is 21100102.

It can be written as a sum of positive squares in 6 ways, for example, as 34386496 + 1975624704 = 5864^2 + 44448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108196 + ... + 125404.

Almost surely, 2^2010011200 is an apocalyptic number.

2010011200 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 2010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506963490).

2010011200 is an abundant number, since it is smaller than the sum of its proper divisors (3003915780).

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

2010011200 is a wasteful number, since it uses less digits than its factorization.

2010011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17304 (or 17289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2010011200 is about 44833.1484506721. The cubic root of 2010011200 is about 1262.0197722613.

Adding to 2010011200 its reverse (21100102), we get a palindrome (2031111302).

The spelling of 2010011200 in words is "two billion, ten million, eleven thousand, two hundred".