2266747200 has 336 divisors, whose sum is σ = 8345180160. Its totient is φ = 598487040.

The previous prime is 2266747183. The next prime is 2266747201. The reversal of 2266747200 is 27476622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266747201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5918209 + ... + 5918591.

Almost surely, 2^2266747200 is an apocalyptic number.

2266747200 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 2266747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172590080).

2266747200 is an abundant number, since it is smaller than the sum of its proper divisors (6078432960).

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

2266747200 is a wasteful number, since it uses less digits than its factorization.

2266747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2266747200 is about 47610.3686186108. The cubic root of 2266747200 is about 1313.6137811140.

The spelling of 2266747200 in words is "two billion, two hundred sixty-six million, seven hundred forty-seven thousand, two hundred".