2064 has 20 divisors (see below), whose sum is σ = 5456. Its totient is φ = 672.

The previous prime is 2063. The next prime is 2069. The reversal of 2064 is 4602.

2064 is nontrivially palindromic in base 7 and base 15.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as **2**^{9} + **6**^{4} + **0** + **4**^{4} .

2064 is an undulating number in base 15.

It is a nialpdrome in base 3, base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 69.

2^{2064} is an apocalyptic number.

2064 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 2064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728).

2064 is an abundant number, since it is smaller than the sum of its proper divisors (3392).

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

2064 is a wasteful number, since it uses less digits than its factorization.

2064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2064 is about 45.4312667664. The cubic root of 2064 is about 12.7321935208.

Adding to 2064 its product of nonzero digits (48), we get a palindrome (2112).

Subtracting from 2064 its product of nonzero digits (48), we obtain a triangular number (2016 = T_{63}).

Adding to 2064 its reverse (4602), we get a palindrome (6666).

It can be divided in two parts, 206 and 4, that added together give a triangular number (210 = T_{20}).

The spelling of 2064 in words is "two thousand, sixty-four", and thus it is an eban number.

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