2532 has 12 divisors (see below), whose sum is σ = 5936. Its totient is φ = 840.

The previous prime is 2531. The next prime is 2539. The reversal of 2532 is 2352.

Adding to 2532 its reverse (2352), we get a palindrome (4884).

2532 is nontrivially palindromic in base 14.

2532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×2532^{2} = 12822048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 211 = 2532 / (2 + 5 + 3 + 2).

It is a d-powerful number, because it can be written as **2**^{6} + **3**^{7} + **5**^{2} + **2**^{8} .

2532 is a nontrivial repdigit in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 117.

2^{2532} is an apocalyptic number.

It is an amenable number.

2532 is an abundant number, since it is smaller than the sum of its proper divisors (3404).

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 (2968).

2532 is a wasteful number, since it uses less digits than its factorization.

2532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its digits is 60, while the sum is 12.

The square root of 2532 is about 50.3189825016. The cubic root of 2532 is about 13.6297503286.

The spelling of 2532 in words is "two thousand, five hundred thirty-two".

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