2011120 has 40 divisors (see below), whose sum is σ = 4883616. Its totient is φ = 768768.

The previous prime is 2011111. The next prime is 2011123. The reversal of 2011120 is 211102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294 + ... + 2386.

2^2011120 is an apocalyptic number.

2011120 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 2011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441808).

2011120 is an abundant number, since it is smaller than the sum of its proper divisors (2872496).

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

2011120 is a wasteful number, since it uses less digits than its factorization.

2011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

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

The square root of 2011120 is about 1418.1396264120. The cubic root of 2011120 is about 126.2251789259.

Adding to 2011120 its reverse (211102), we get a palindrome (2222222).

The spelling of 2011120 in words is "two million, eleven thousand, one hundred twenty".