2272132800 has 252 divisors, whose sum is σ = 9229776816. Its totient is φ = 519321600.

The previous prime is 2272132799. The next prime is 2272132801. The reversal of 2272132800 is 82312722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2272132799) and next prime (2272132801).

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (2272132801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89530 + ... + 112070.

Almost surely, 2^2272132800 is an apocalyptic number.

2272132800 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 2272132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614888408).

2272132800 is an abundant number, since it is smaller than the sum of its proper divisors (6957644016).

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

2272132800 is a wasteful number, since it uses less digits than its factorization.

2272132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22576 (or 22558 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2272132800 is about 47666.8941719512. The cubic root of 2272132800 is about 1314.6533034276.

The spelling of 2272132800 in words is "two billion, two hundred seventy-two million, one hundred thirty-two thousand, eight hundred".