2266364800 has 384 divisors, whose sum is σ = 6884559360. Its totient is φ = 720445440.

The previous prime is 2266364743. The next prime is 2266364803. The reversal of 2266364800 is 84636622.

It is a self number, because there is not a number n which added to its sum of digits gives 2266364800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266364803) 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, 27305559 + ... + 27305641.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 2^2266364800 is an apocalyptic number.

2266364800 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 2266364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442279680).

2266364800 is an abundant number, since it is smaller than the sum of its proper divisors (4618194560).

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

2266364800 is a wasteful number, since it uses less digits than its factorization.

2266364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 2266364800 is about 47606.3525172849. The cubic root of 2266364800 is about 1313.5399081269.

The spelling of 2266364800 in words is "two billion, two hundred sixty-six million, three hundred sixty-four thousand, eight hundred".