2011165200 has 720 divisors, whose sum is σ = 8384532800. Its totient is φ = 461894400.

The previous prime is 2011165187. The next prime is 2011165201. The reversal of 2011165200 is 25611102.

2011165200 is a `hidden beast` number, since 2 + 0 + 1 + 11 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (2011165201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105850791 + ... + 105850809.

Almost surely, 2^2011165200 is an apocalyptic number.

2011165200 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 2011165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192266400).

2011165200 is an abundant number, since it is smaller than the sum of its proper divisors (6373367600).

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

2011165200 is a wasteful number, since it uses less digits than its factorization.

2011165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2011165200 is about 44846.0165455083. The cubic root of 2011165200 is about 1262.2612455746.

Adding to 2011165200 its reverse (25611102), we get a palindrome (2036776302).

The spelling of 2011165200 in words is "two billion, eleven million, one hundred sixty-five thousand, two hundred".