2175217968 has 120 divisors (see below), whose sum is σ = 7059103744. Its totient is φ = 564981120.

The previous prime is 2175217937. The next prime is 2175217981. The reversal of 2175217968 is 8697125712.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13905 + ... + 67407.

Almost surely, 2^2175217968 is an apocalyptic number.

2175217968 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 2175217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529551872).

2175217968 is an abundant number, since it is smaller than the sum of its proper divisors (4883885776).

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

2175217968 is a wasteful number, since it uses less digits than its factorization.

2175217968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53543 (or 53526 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 2175217968 is about 46639.2320691497. The cubic root of 2175217968 is about 1295.6894641593.

The spelling of 2175217968 in words is "two billion, one hundred seventy-five million, two hundred seventeen thousand, nine hundred sixty-eight".