2738 has 6 divisors (see below), whose sum is σ = 4221. Its totient is φ = 1332.

The previous prime is 2731. The next prime is 2741. The reversal of 2738 is 8372.

2738 is nontrivially palindromic in base 6.

2738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2209 + 529 = 47^2 + 23^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=37.

It is a d-powerful number, because it can be written as **2**^{5} + **3**^{7} + **7** + **8**^{3} .

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2731) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 56 + ... + 92.

2^{2738} is an apocalyptic number.

2738 is a deficient number, since it is larger than the sum of its proper divisors (1483).

2738 is an equidigital number, since it uses as much as digits as its factorization.

2738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its digits is 336, while the sum is 20.

The square root of 2738 is about 52.3259018078. The cubic root of 2738 is about 13.9897884719.

The spelling of 2738 in words is "two thousand, seven hundred thirty-eight".

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