2264 has 8 divisors (see below), whose sum is σ = 4260. Its totient is φ = 1128.

The previous prime is 2251. The next prime is 2267. The reversal of 2264 is 4622.

2264 is nontrivially palindromic in base 16.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 2⁹ + 6³ + 2⁹ + 4⁵ .

2264 is an undulating number in base 16.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134 + ... + 149.

It is an amenable number.

2264 is a deficient number, since it is larger than the sum of its proper divisors (1996).

2264 is a wasteful number, since it uses less digits than its factorization.

2264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 2264 is about 47.5815090135. The cubic root of 2264 is about 13.1308288547.

Adding to 2264 its sum of digits (14), we get a triangular number (2278 = T₆₇).

Adding to 2264 its reverse (4622), we get a palindrome (6886).

It can be divided in two parts, 2 and 264, that multiplied together give a triangular number (528 = T₃₂).

The spelling of 2264 in words is "two thousand, two hundred sixty-four".