2255936 has 28 divisors (see below), whose sum is σ = 4533900. Its totient is φ = 1113600.

The previous prime is 2255899. The next prime is 2255947. The reversal of 2255936 is 6395522.

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 295936 = 1400^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6290 + ... + 6638.

It is an arithmetic number, because the mean of its divisors is an integer number (161925).

2^2255936 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 2255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266950).

2255936 is an abundant number, since it is smaller than the sum of its proper divisors (2277964).

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

2255936 is a wasteful number, since it uses less digits than its factorization.

2255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 2255936 is about 1501.9773633447. The cubic root of 2255936 is about 131.1522034900.

The spelling of 2255936 in words is "two million, two hundred fifty-five thousand, nine hundred thirty-six".