2562 has 16 divisors (see below), whose sum is σ = 5952. Its totient is φ = 720.

The previous prime is 2557. The next prime is 2579. The reversal of 2562 is 2652.

2562 is nontrivially palindromic in base 13.

2562 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

2562 is an undulating number in base 11.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (372).

It is a practical number, because each smaller number is the sum of distinct divisors of 2562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976).

2562 is an abundant number, since it is smaller than the sum of its proper divisors (3390).

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

2562 is a wasteful number, since it uses less digits than its factorization.

2562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its digits is 120, while the sum is 15.

The square root of 2562 is about 50.6162029394. The cubic root of 2562 is about 13.6833690960.

Subtracting from 2562 its product of digits (120), we obtain a palindrome (2442).

It can be divided in two parts, 256 and 2, that multiplied together give a 9-th power (512 = 2^{9}).

The spelling of 2562 in words is "two thousand, five hundred sixty-two".

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