2664 has 24 divisors (see below), whose sum is σ = 7410. Its totient is φ = 864.

The previous prime is 2663. The next prime is 2671. The reversal of 2664 is 4662.

2664 is a *`hidden beast`* number, since 2 + 664 = 666.

2664 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 900 = 42^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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.

It is a d-powerful number, because it can be written as **2**^{7} + **6**^{3} + **6**^{4} + **4**^{5} .

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2663) 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 in 5 ways as a sum of consecutive naturals, for example, 54 + ... + 90.

2664 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 2664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705).

2664 is an abundant number, since it is smaller than the sum of its proper divisors (4746).

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

2664 is a wasteful number, since it uses less digits than its factorization.

2664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2664 is about 51.6139516023. The cubic root of 2664 is about 13.8626015369.

It can be divided in two parts, 2 and 664, that added together give a palindrome (666).

The spelling of 2664 in words is "two thousand, six hundred sixty-four".

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