2011011200 has 96 divisors (see below), whose sum is σ = 5419541520. Its totient is φ = 731264000.

The previous prime is 2011011169. The next prime is 2011011221. The reversal of 2011011200 is 21101102.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 6635 + ... + 63765.

Almost surely, 2^2011011200 is an apocalyptic number.

2011011200 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 2011011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709770760).

2011011200 is an abundant number, since it is smaller than the sum of its proper divisors (3408530320).

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

2011011200 is a wasteful number, since it uses less digits than its factorization.

2011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57166 (or 57149 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2011011200 is about 44844.2995262497. The cubic root of 2011011200 is about 1262.2290265747.

Adding to 2011011200 its reverse (21101102), we get a palindrome (2032112302).

The spelling of 2011011200 in words is "two billion, eleven million, eleven thousand, two hundred".