2568096 has 72 divisors (see below), whose sum is σ = 7531524. Its totient is φ = 829440.

The previous prime is 2568091. The next prime is 2568101. The reversal of 2568096 is 6908652.

2568096 is a `hidden beast` number, since 2 + 568 + 0 + 96 = 666.

2568096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2568091) and next prime (2568101).

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 318096 = 1500^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2568096.

It is not an unprimeable number, because it can be changed into a prime (2568091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10536 + ... + 10776.

2^2568096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765762).

2568096 is an abundant number, since it is smaller than the sum of its proper divisors (4963428).

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

2568096 is a wasteful number, since it uses less digits than its factorization.

2568096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2568096 is about 1602.5280028755. The cubic root of 2568096 is about 136.9421319529.

It can be divided in two parts, 25 and 68096, that added together give a square (68121 = 261²).

The spelling of 2568096 in words is "two million, five hundred sixty-eight thousand, ninety-six".