2255683584 has 272 divisors, whose sum is σ = 7549689600. Its totient is φ = 581959680.

The previous prime is 2255683583. The next prime is 2255683589. The reversal of 2255683584 is 4853865522.

It is a super-2 number, since 2×2255683584² = 10176216862254170112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2255683583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15138742 + ... + 15138890.

Almost surely, 2^2255683584 is an apocalyptic number.

2255683584 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 2255683584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774844800).

2255683584 is an abundant number, since it is smaller than the sum of its proper divisors (5294006016).

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

2255683584 is an equidigital number, since it uses as much as digits as its factorization.

2255683584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 48.

The square root of 2255683584 is about 47494.0373520719. The cubic root of 2255683584 is about 1311.4731178067.

The spelling of 2255683584 in words is "two billion, two hundred fifty-five million, six hundred eighty-three thousand, five hundred eighty-four".