2193181728 has 24 divisors (see below), whose sum is σ = 5757102288. Its totient is φ = 731060544.

The previous prime is 2193181691. The next prime is 2193181729. The reversal of 2193181728 is 8271813912.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2193181728.

It is not an unprimeable number, because it can be changed into a prime (2193181729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11422726 + ... + 11422917.

It is an arithmetic number, because the mean of its divisors is an integer number (239879262).

Almost surely, 2^2193181728 is an apocalyptic number.

It is an amenable number.

2193181728 is an abundant number, since it is smaller than the sum of its proper divisors (3563920560).

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

2193181728 is a wasteful number, since it uses less digits than its factorization.

2193181728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22845656 (or 22845648 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 2193181728 is about 46831.4181719922. The cubic root of 2193181728 is about 1299.2464524409.

It can be divided in two parts, 2193 and 181728, that added together give a triangular number (183921 = T₆₀₆).

The spelling of 2193181728 in words is "two billion, one hundred ninety-three million, one hundred eighty-one thousand, seven hundred twenty-eight".