2273947200 has 504 divisors, whose sum is σ = 9787444992. Its totient is φ = 488816640.

The previous prime is 2273947177. The next prime is 2273947213. The reversal of 2273947200 is 27493722.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1712937 + ... + 1714263.

Almost surely, 2^2273947200 is an apocalyptic number.

2273947200 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 2273947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893722496).

2273947200 is an abundant number, since it is smaller than the sum of its proper divisors (7513497792).

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

2273947200 is a wasteful number, since it uses less digits than its factorization.

2273947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2273947200 is about 47685.9224509708. The cubic root of 2273947200 is about 1315.0031468743.

The spelling of 2273947200 in words is "two billion, two hundred seventy-three million, nine hundred forty-seven thousand, two hundred".