2191872672 has 144 divisors (see below), whose sum is σ = 6816464928. Its totient is φ = 662576640.

The previous prime is 2191872671. The next prime is 2191872673. The reversal of 2191872672 is 2762781912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2191872671) and next prime (2191872673).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2191872671) 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 23 ways as a sum of consecutive naturals, for example, 2163238 + ... + 2164250.

It is an arithmetic number, because the mean of its divisors is an integer number (47336562).

Almost surely, 2^2191872672 is an apocalyptic number.

2191872672 is a gapful number since it is divisible by the number (22) 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 2191872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408232464).

2191872672 is an abundant number, since it is smaller than the sum of its proper divisors (4624592256).

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

2191872672 is a wasteful number, since it uses less digits than its factorization.

2191872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1712 counting only the distinct ones).

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

The square root of 2191872672 is about 46817.4398274831. The cubic root of 2191872672 is about 1298.9879049556.

The spelling of 2191872672 in words is "two billion, one hundred ninety-one million, eight hundred seventy-two thousand, six hundred seventy-two".