2011264 has 32 divisors (see below), whose sum is σ = 4222800. Its totient is φ = 951552.

The previous prime is 2011259. The next prime is 2011267. The reversal of 2011264 is 4621102.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2011267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2019 + ... + 2845.

2^2011264 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 2011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111400).

2011264 is an abundant number, since it is smaller than the sum of its proper divisors (2211536).

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

2011264 is an equidigital number, since it uses as much as digits as its factorization.

2011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2011264 is about 1418.1903962445. The cubic root of 2011264 is about 126.2281915080.

Adding to 2011264 its reverse (4621102), we get a palindrome (6632366).

The spelling of 2011264 in words is "two million, eleven thousand, two hundred sixty-four".