2011872 has 48 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 634752.

The previous prime is 2011861. The next prime is 2011897. The reversal of 2011872 is 2781102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

2^2011872 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 2011872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2011872 is an abundant number, since it is smaller than the sum of its proper divisors (3552288).

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

2011872 is a wasteful number, since it uses less digits than its factorization.

2011872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2011872 is about 1418.4047377247. The cubic root of 2011872 is about 126.2409097138.

Adding to 2011872 its reverse (2781102), we get a palindrome (4792974).

The spelling of 2011872 in words is "two million, eleven thousand, eight hundred seventy-two".