2211264 has 84 divisors (see below), whose sum is σ = 6934200. Its totient is φ = 668160.

The previous prime is 2211263. The next prime is 2211269. The reversal of 2211264 is 4621122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211263) 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, 6162 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (82550).

2^2211264 is an apocalyptic number.

2211264 is a gapful number since it is divisible by the number (24) 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 2211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467100).

2211264 is an abundant number, since it is smaller than the sum of its proper divisors (4722936).

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

2211264 is a wasteful number, since it uses less digits than its factorization.

2211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2211264 is about 1487.0319431673. The cubic root of 2211264 is about 130.2807345412.

Adding to 2211264 its reverse (4621122), we get a palindrome (6832386).

It can be divided in two parts, 221 and 1264, that added together give a triangular number (1485 = T₅₄).

The spelling of 2211264 in words is "two million, two hundred eleven thousand, two hundred sixty-four".