2196271728 has 180 divisors, whose sum is σ = 7219325880. Its totient is φ = 621427968.

The previous prime is 2196271711. The next prime is 2196271739. The reversal of 2196271728 is 8271726912.

It is a happy number.

2196271728 is a `hidden beast` number, since 2 + 1 + 9 + 627 + 17 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 753538 + ... + 756446.

It is an arithmetic number, because the mean of its divisors is an integer number (40107366).

Almost surely, 2^2196271728 is an apocalyptic number.

2196271728 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 2196271728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609662940).

2196271728 is an abundant number, since it is smaller than the sum of its proper divisors (5023054152).

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

2196271728 is a wasteful number, since it uses less digits than its factorization.

2196271728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3028 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 2196271728 is about 46864.3972328675. The cubic root of 2196271728 is about 1299.8563407327.

The spelling of 2196271728 in words is "two billion, one hundred ninety-six million, two hundred seventy-one thousand, seven hundred twenty-eight".