2272136328 has 384 divisors, whose sum is σ = 8130170880. Its totient is φ = 555793920.

The previous prime is 2272136327. The next prime is 2272136353. The reversal of 2272136328 is 8236312722.

2272136328 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 13 + 632 + 8 = 666.

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.

It is a junction number, because it is equal to n+sod(n) for n = 2272136292 and 2272136301.

It is not an unprimeable number, because it can be changed into a prime (2272136327) by changing a digit.

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, 13133650 + ... + 13133822.

It is an arithmetic number, because the mean of its divisors is an integer number (21172320).

Almost surely, 2^2272136328 is an apocalyptic number.

2272136328 is a gapful number since it is divisible by the number (28) 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 2272136328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065085440).

2272136328 is an abundant number, since it is smaller than the sum of its proper divisors (5858034552).

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

2272136328 is a wasteful number, since it uses less digits than its factorization.

2272136328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2272136328 is about 47666.9311787533. The cubic root of 2272136328 is about 1314.6539838594.

It can be divided in two parts, 22721 and 36328, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 2272136328 in words is "two billion, two hundred seventy-two million, one hundred thirty-six thousand, three hundred twenty-eight".