2255239584 has 480 divisors, whose sum is σ = 7868399616. Its totient is φ = 627056640.

The previous prime is 2255239583. The next prime is 2255239663. The reversal of 2255239584 is 4859325522.

2255239584 is a `hidden beast` number, since 2 + 2 + 552 + 3 + 95 + 8 + 4 = 666.

It is a super-2 number, since 2×2255239584² = 10172211162480986112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2255239583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17757729 + ... + 17757855.

Almost surely, 2^2255239584 is an apocalyptic number.

2255239584 is a gapful number since it is divisible by the number (24) 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 2255239584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934199808).

2255239584 is an abundant number, since it is smaller than the sum of its proper divisors (5613160032).

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

2255239584 is a wasteful number, since it uses less digits than its factorization.

2255239584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2255239584 is about 47489.3628510638. The cubic root of 2255239584 is about 1311.3870637345.

The spelling of 2255239584 in words is "two billion, two hundred fifty-five million, two hundred thirty-nine thousand, five hundred eighty-four".