2011009200 has 120 divisors (see below), whose sum is σ = 6616185168. Its totient is φ = 521763840.

The previous prime is 2011009199. The next prime is 2011009211. The reversal of 2011009200 is 29001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011009200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21754 + ... + 67046.

Almost surely, 2^2011009200 is an apocalyptic number.

2011009200 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 2011009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308092584).

2011009200 is an abundant number, since it is smaller than the sum of its proper divisors (4605175968).

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

2011009200 is a wasteful number, since it uses less digits than its factorization.

2011009200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45351 (or 45340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2011009200 is about 44844.2772268659. The cubic root of 2011009200 is about 1262.2286081353.

The spelling of 2011009200 in words is "two billion, eleven million, nine thousand, two hundred".