2255441100 has 216 divisors, whose sum is σ = 7297491264. Its totient is φ = 533280000.

The previous prime is 2255441093. The next prime is 2255441101. The reversal of 2255441100 is 11445522.

2255441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2255441101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22331050 + ... + 22331150.

Almost surely, 2^2255441100 is an apocalyptic number.

2255441100 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 2255441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648745632).

2255441100 is an abundant number, since it is smaller than the sum of its proper divisors (5042050164).

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

2255441100 is a wasteful number, since it uses less digits than its factorization.

2255441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2255441100 is about 47491.4844998553. The cubic root of 2255441100 is about 1311.4261220540.

Adding to 2255441100 its reverse (11445522), we get a palindrome (2266886622).

The spelling of 2255441100 in words is "two billion, two hundred fifty-five million, four hundred forty-one thousand, one hundred".