2165536256 has 120 divisors (see below), whose sum is σ = 4852457280. Its totient is φ = 963895296.

The previous prime is 2165536213. The next prime is 2165536271. The reversal of 2165536256 is 6526355612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2508881 + ... + 2509743.

It is an arithmetic number, because the mean of its divisors is an integer number (40437144).

Almost surely, 2^2165536256 is an apocalyptic number.

2165536256 is a gapful number since it is divisible by the number (26) 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 2165536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426228640).

2165536256 is an abundant number, since it is smaller than the sum of its proper divisors (2686921024).

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

2165536256 is an equidigital number, since it uses as much as digits as its factorization.

2165536256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 907 counting only the distinct ones).

The product of its digits is 324000, while the sum is 41.

The square root of 2165536256 is about 46535.3226699891. The cubic root of 2165536256 is about 1293.7642701375.

The spelling of 2165536256 in words is "two billion, one hundred sixty-five million, five hundred thirty-six thousand, two hundred fifty-six".