2568 has 16 divisors (see below), whose sum is σ = 6480.
Its totient is φ = 848.
The previous prime is 2557. The next prime is 2579. The reversal of 2568 is 8652.
Subtracting 2568 from its reverse (8652), we obtain a square (6084 = 782).
It can be divided in two parts, 256 and 8, that multiplied together give a 11-th power (2048 = 211).
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2557) and next prime (2579).
It is a plaindrome in base 10 and base 13.
It is a nialpdrome in base 15.
It is an unprimeable number.
2568 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 30 + ... + 77.
It is an arithmetic number, because the mean of its divisors is an integer number (405).
It is an amenable number.
2568 is an abundant number, since it is smaller than the sum of its proper divisors (3912).
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 (3240).
2568 is a wasteful number, since it uses less digits than its factorization.
2568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 112 counting only the distinct ones).
The product of its digits is 480, while the sum is 21.
The square root of 2568 is about 50.6754378373.
The cubic root of 2568 is about 13.6940425551.
The spelling of 2568 in words is "two thousand, five hundred sixty-eight".