2268080800 has 144 divisors (see below), whose sum is σ = 5702260032. Its totient is φ = 880588800.

The previous prime is 2268080791. The next prime is 2268080803. The reversal of 2268080800 is 80808622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268080803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4146127 + ... + 4146673.

It is an arithmetic number, because the mean of its divisors is an integer number (39599028).

Almost surely, 2^2268080800 is an apocalyptic number.

2268080800 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 2268080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851130016).

2268080800 is an abundant number, since it is smaller than the sum of its proper divisors (3434179232).

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

2268080800 is a wasteful number, since it uses less digits than its factorization.

2268080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2268080800 is about 47624.3719118688. The cubic root of 2268080800 is about 1313.8713443008.

The spelling of 2268080800 in words is "two billion, two hundred sixty-eight million, eighty thousand, eight hundred".