2560 has 20 divisors (see below), whose sum is σ = 6138. Its totient is φ = 1024.

The previous prime is 2557. The next prime is 2579. The reversal of 2560 is 652.

Subtracting from 2560 its product of nonzero digits (60), we obtain a square (2500 = 50^{2}).

2560 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 256 = 48^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 2560 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510 + ... + 514.

2560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069).

2560 is an abundant number, since it is smaller than the sum of its proper divisors (3578).

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

2560 is an frugal number, since it uses more digits than its factorization.

2560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2560 is about 50.5964425627. The cubic root of 2560 is about 13.6798075734.

The spelling of 2560 in words is "two thousand, five hundred sixty".

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