2214264 has 64 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 662400.

The previous prime is 2214257. The next prime is 2214269. The reversal of 2214264 is 4624122.

2214264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2214264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214269) 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, 14589 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^2214264 is an apocalyptic number.

2214264 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 2214264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2214264 is an abundant number, since it is smaller than the sum of its proper divisors (3914376).

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

2214264 is a wasteful number, since it uses less digits than its factorization.

2214264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2214264 is about 1488.0403220343. The cubic root of 2214264 is about 130.3396247787.

Adding to 2214264 its reverse (4624122), we get a palindrome (6838386).

The spelling of 2214264 in words is "two million, two hundred fourteen thousand, two hundred sixty-four".