2011672 has 48 divisors (see below), whose sum is σ = 4389840. Its totient is φ = 857472.

The previous prime is 2011657. The next prime is 2011673. The reversal of 2011672 is 2761102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69354 + ... + 69382.

It is an arithmetic number, because the mean of its divisors is an integer number (91455).

2^2011672 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 2011672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194920).

2011672 is an abundant number, since it is smaller than the sum of its proper divisors (2378168).

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

2011672 is a wasteful number, since it uses less digits than its factorization.

2011672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2011672 is about 1418.3342342339. The cubic root of 2011672 is about 126.2367263763.

Adding to 2011672 its reverse (2761102), we get a palindrome (4772774).

The spelling of 2011672 in words is "two million, eleven thousand, six hundred seventy-two".