2167264 has 48 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 956800.

The previous prime is 2167261. The next prime is 2167289. The reversal of 2167264 is 4627612.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16479 + ... + 16609.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

2^2167264 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 2167264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2167264 is an abundant number, since it is smaller than the sum of its proper divisors (2622752).

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

2167264 is a wasteful number, since it uses less digits than its factorization.

2167264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 2167264 is about 1472.1630344496. The cubic root of 2167264 is about 129.4108249486.

It can be divided in two parts, 21672 and 64, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 2167264 in words is "two million, one hundred sixty-seven thousand, two hundred sixty-four".