2011296 has 96 divisors (see below), whose sum is σ = 6265728. Its totient is φ = 552960.

The previous prime is 2011291. The next prime is 2011309. The reversal of 2011296 is 6921102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2011291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27516 + ... + 27588.

It is an arithmetic number, because the mean of its divisors is an integer number (65268).

2^2011296 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 2011296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132864).

2011296 is an abundant number, since it is smaller than the sum of its proper divisors (4254432).

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

2011296 is a wasteful number, since it uses less digits than its factorization.

2011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2011296 is about 1418.2016781826. The cubic root of 2011296 is about 126.2288609511.

Adding to 2011296 its reverse (6921102), we get a palindrome (8932398).

The spelling of 2011296 in words is "two million, eleven thousand, two hundred ninety-six".