2165256 has 96 divisors (see below), whose sum is σ = 6528600. Its totient is φ = 645120.

The previous prime is 2165249. The next prime is 2165291. The reversal of 2165256 is 6525612.

2165256 is a `hidden beast` number, since 2 + 1 + 652 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1602756 + 562500 = 1266^2 + 750^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35466 + ... + 35526.

2^2165256 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 2165256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264300).

2165256 is an abundant number, since it is smaller than the sum of its proper divisors (4363344).

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

2165256 is a wasteful number, since it uses less digits than its factorization.

2165256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2165256 is about 1471.4808867260. The cubic root of 2165256 is about 129.3708456273.

The spelling of 2165256 in words is "two million, one hundred sixty-five thousand, two hundred fifty-six".