2272135824 has 480 divisors, whose sum is σ = 8170905600. Its totient is φ = 574801920.

The previous prime is 2272135769. The next prime is 2272135883. The reversal of 2272135824 is 4285312722.

2272135824 is a `hidden beast` number, since 2 + 2 + 72 + 1 + 3 + 582 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 25529572 + ... + 25529660.

It is an arithmetic number, because the mean of its divisors is an integer number (17022720).

Almost surely, 2^2272135824 is an apocalyptic number.

2272135824 is a gapful number since it is divisible by the number (24) 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 2272135824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085452800).

2272135824 is an abundant number, since it is smaller than the sum of its proper divisors (5898769776).

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

2272135824 is a wasteful number, since it uses less digits than its factorization.

2272135824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2272135824 is about 47666.9258920690. The cubic root of 2272135824 is about 1314.6538866549.

The spelling of 2272135824 in words is "two billion, two hundred seventy-two million, one hundred thirty-five thousand, eight hundred twenty-four".