2255803200 has 756 divisors, whose sum is σ = 9802185120. Its totient is φ = 489646080.

The previous prime is 2255803189. The next prime is 2255803217. The reversal of 2255803200 is 23085522.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 16228731 + ... + 16228869.

Almost surely, 2^2255803200 is an apocalyptic number.

2255803200 is a gapful number since it is divisible by the number (20) 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 2255803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901092560).

2255803200 is an abundant number, since it is smaller than the sum of its proper divisors (7546381920).

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

2255803200 is a wasteful number, since it uses less digits than its factorization.

2255803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2255803200 is about 47495.2966092433. The cubic root of 2255803200 is about 1311.4962993080.

Adding to 2255803200 its reverse (23085522), we get a palindrome (2278888722).

The spelling of 2255803200 in words is "two billion, two hundred fifty-five million, eight hundred three thousand, two hundred".