2268335100 has 144 divisors (see below), whose sum is σ = 6815563776. Its totient is φ = 581856000.

The previous prime is 2268335089. The next prime is 2268335107. The reversal of 2268335100 is 15338622.

2268335100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268335107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1775662 + ... + 1776938.

It is an arithmetic number, because the mean of its divisors is an integer number (47330304).

Almost surely, 2^2268335100 is an apocalyptic number.

2268335100 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 2268335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407781888).

2268335100 is an abundant number, since it is smaller than the sum of its proper divisors (4547228676).

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

2268335100 is a wasteful number, since it uses less digits than its factorization.

2268335100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2268335100 is about 47627.0416885198. The cubic root of 2268335100 is about 1313.9204467543.

The spelling of 2268335100 in words is "two billion, two hundred sixty-eight million, three hundred thirty-five thousand, one hundred".