2176224672 has 96 divisors (see below), whose sum is σ = 6311716992. Its totient is φ = 653041664.

The previous prime is 2176224643. The next prime is 2176224697. The reversal of 2176224672 is 2764226712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2176224672.

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 15 ways as a sum of consecutive naturals, for example, 8548 + ... + 66524.

It is an arithmetic number, because the mean of its divisors is an integer number (65747052).

Almost surely, 2^2176224672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2176224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155858496).

2176224672 is an abundant number, since it is smaller than the sum of its proper divisors (4135492320).

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

2176224672 is a wasteful number, since it uses less digits than its factorization.

2176224672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58030 (or 58022 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 2176224672 is about 46650.0232797370. The cubic root of 2176224672 is about 1295.8893176319.

The spelling of 2176224672 in words is "two billion, one hundred seventy-six million, two hundred twenty-four thousand, six hundred seventy-two".