2634 has 8 divisors (see below), whose sum is σ = 5280. Its totient is φ = 876.

The previous prime is 2633. The next prime is 2647. The reversal of 2634 is 4362.

2634 is nontrivially palindromic in base 5 and base 16.

2634 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

2634 is an admirable number.

2634 is an undulating number in base 16.

It is a plaindrome in base 13.

It is a nialpdrome in base 14 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2633) 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 3 ways as a sum of consecutive naturals, for example, 214 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (660).

2²⁶³⁴ is an apocalyptic number.

2634 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640).

2634 is a wasteful number, since it uses less digits than its factorization.

2634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its digits is 144, while the sum is 15.

The square root of 2634 is about 51.3225096814. The cubic root of 2634 is about 13.8103681797.

Adding to 2634 its reverse (4362), we get a palindrome (6996).

Subtracting 2634 from its reverse (4362), we obtain a cube (1728 = 12³).

It can be divided in two parts, 2 and 634, that added together give a palindrome (636).

The spelling of 2634 in words is "two thousand, six hundred thirty-four".