2171724768 has 144 divisors (see below), whose sum is σ = 6619275936. Its totient is φ = 673643520.

The previous prime is 2171724727. The next prime is 2171724811. The reversal of 2171724768 is 8674271712.

2171724768 is a `hidden beast` number, since 2 + 1 + 7 + 172 + 476 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240658 + ... + 249518.

It is an arithmetic number, because the mean of its divisors is an integer number (45967194).

Almost surely, 2^2171724768 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 2171724768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309637968).

2171724768 is an abundant number, since it is smaller than the sum of its proper divisors (4447551168).

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

2171724768 is a wasteful number, since it uses less digits than its factorization.

2171724768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8926 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 2171724768 is about 46601.7678634620. The cubic root of 2171724768 is about 1294.9955065113.

The spelling of 2171724768 in words is "two billion, one hundred seventy-one million, seven hundred twenty-four thousand, seven hundred sixty-eight".