2638 has 4 divisors (see below), whose sum is σ = 3960. Its totient is φ = 1318.

The previous prime is 2633. The next prime is 2647. The reversal of 2638 is 8362.

2638 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

2638 is strictly pandigital in base 5.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 658 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2²⁶³⁸ is an apocalyptic number.

2638 is a deficient number, since it is larger than the sum of its proper divisors (1322).

2638 is a wasteful number, since it uses less digits than its factorization.

2638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321.

The product of its digits is 288, while the sum is 19.

The square root of 2638 is about 51.3614641536. The cubic root of 2638 is about 13.8173554656.

Adding to 2638 its product of digits (288), we get a triangular number (2926 = T₇₆).

It can be divided in two parts, 26 and 38, that added together give a 6-th power (64 = 2⁶).

The spelling of 2638 in words is "two thousand, six hundred thirty-eight".