2272032000 has 864 divisors, whose sum is σ = 9948556800. Its totient is φ = 496742400.

The previous prime is 2272031987. The next prime is 2272032019. The reversal of 2272032000 is 2302722.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 98783989 + ... + 98784011.

Almost surely, 2^2272032000 is an apocalyptic number.

2272032000 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 2272032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974278400).

2272032000 is an abundant number, since it is smaller than the sum of its proper divisors (7676524800).

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

2272032000 is an equidigital number, since it uses as much as digits as its factorization.

2272032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2272032000 is about 47665.8368226133. The cubic root of 2272032000 is about 1314.6338622205.

Adding to 2272032000 its reverse (2302722), we get a palindrome (2274334722).

The spelling of 2272032000 in words is "two billion, two hundred seventy-two million, thirty-two thousand".