2268741200 has 120 divisors (see below), whose sum is σ = 6138345216. Its totient is φ = 798336000.

The previous prime is 2268741157. The next prime is 2268741221. The reversal of 2268741200 is 21478622.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128084 + ... + 144716.

Almost surely, 2^2268741200 is an apocalyptic number.

2268741200 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 2268741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069172608).

2268741200 is an abundant number, since it is smaller than the sum of its proper divisors (3869604016).

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

2268741200 is a wasteful number, since it uses less digits than its factorization.

2268741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16693 (or 16682 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2268741200 is about 47631.3048320115. The cubic root of 2268741200 is about 1313.9988524617.

The spelling of 2268741200 in words is "two billion, two hundred sixty-eight million, seven hundred forty-one thousand, two hundred".