2272427136 has 448 divisors, whose sum is σ = 8026992000. Its totient is φ = 640120320.

The previous prime is 2272427119. The next prime is 2272427191. The reversal of 2272427136 is 6317242722.

It is a happy number.

2272427136 is a `hidden beast` number, since 227 + 2 + 427 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2272427136.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32005981 + ... + 32006051.

Almost surely, 2^2272427136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013496000).

2272427136 is an abundant number, since it is smaller than the sum of its proper divisors (5754564864).

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

2272427136 is an frugal number, since it uses more digits than its factorization.

2272427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 2272427136 is about 47669.9814977938. The cubic root of 2272427136 is about 1314.7100684616.

Adding to 2272427136 its reverse (6317242722), we get a palindrome (8589669858).

The spelling of 2272427136 in words is "two billion, two hundred seventy-two million, four hundred twenty-seven thousand, one hundred thirty-six".