2838 has 16 divisors (see below), whose sum is σ = 6336. Its totient is φ = 840.

The previous prime is 2837. The next prime is 2843. The reversal of 2838 is 8382.

2838 = T₁₇ + T₁₈ + ... + T₂₇.

2838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (396).

It is a practical number, because each smaller number is the sum of distinct divisors of 2838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168).

2838 is an abundant number, since it is smaller than the sum of its proper divisors (3498).

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

2838 is a wasteful number, since it uses less digits than its factorization.

2838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59.

The product of its digits is 384, while the sum is 21.

The square root of 2838 is about 53.2728824075. The cubic root of 2838 is about 14.1580724498.

It can be divided in two parts, 28 and 38, that added together give a palindrome (66).

The spelling of 2838 in words is "two thousand, eight hundred thirty-eight".