2210264 has 32 divisors (see below), whose sum is σ = 4903200. Its totient is φ = 913920.

The previous prime is 2210261. The next prime is 2210267. The reversal of 2210264 is 4620122.

2210264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2210261) and next prime (2210267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944 + ... + 2304.

It is an arithmetic number, because the mean of its divisors is an integer number (153225).

2^2210264 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 2210264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451600).

2210264 is an abundant number, since it is smaller than the sum of its proper divisors (2692936).

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

2210264 is a wasteful number, since it uses less digits than its factorization.

2210264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2210264 is about 1486.6956648891. The cubic root of 2210264 is about 130.2610926263.

Adding to 2210264 its reverse (4620122), we get a palindrome (6830386).

The spelling of 2210264 in words is "two million, two hundred ten thousand, two hundred sixty-four".