2272723200 has 648 divisors, whose sum is σ = 9430083936. Its totient is φ = 516096000.

The previous prime is 2272723169. The next prime is 2272723237. The reversal of 2272723200 is 23272722.

2272723200 is a `hidden beast` number, since 2 + 272 + 72 + 320 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10771095 + ... + 10771305.

Almost surely, 2^2272723200 is an apocalyptic number.

2272723200 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 2272723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715041968).

2272723200 is an abundant number, since it is smaller than the sum of its proper divisors (7157360736).

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

2272723200 is a wasteful number, since it uses less digits than its factorization.

2272723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2272723200 is about 47673.0867471365. The cubic root of 2272723200 is about 1314.7671618095.

Adding to 2272723200 its reverse (23272722), we get a palindrome (2295995922).

The spelling of 2272723200 in words is "two billion, two hundred seventy-two million, seven hundred twenty-three thousand, two hundred".