2011128192 has 192 divisors, whose sum is σ = 6152374800. Its totient is φ = 629379072.

The previous prime is 2011128181. The next prime is 2011128199. The reversal of 2011128192 is 2918211102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011128199) by changing a digit.

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, 1235283 + ... + 1236909.

Almost surely, 2^2011128192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076187400).

2011128192 is an abundant number, since it is smaller than the sum of its proper divisors (4141246608).

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

2011128192 is a wasteful number, since it uses less digits than its factorization.

2011128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 2011128192 is about 44845.6039317122. The cubic root of 2011128192 is about 1262.2535031224.

Adding to 2011128192 its reverse (2918211102), we get a palindrome (4929339294).

The spelling of 2011128192 in words is "two billion, eleven million, one hundred twenty-eight thousand, one hundred ninety-two".