2175306642 has 48 divisors (see below), whose sum is σ = 4870364928. Its totient is φ = 700967520.

The previous prime is 2175306607. The next prime is 2175306643. The reversal of 2175306642 is 2466035712.

2175306642 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 3 + 0 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2175306597 and 2175306606.

It is not an unprimeable number, because it can be changed into a prime (2175306643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809433 + ... + 812115.

It is an arithmetic number, because the mean of its divisors is an integer number (101465936).

Almost surely, 2^2175306642 is an apocalyptic number.

2175306642 is an abundant number, since it is smaller than the sum of its proper divisors (2695058286).

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

2175306642 is a wasteful number, since it uses less digits than its factorization.

2175306642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2175306642 is about 46640.1826968977. The cubic root of 2175306642 is about 1295.7070704265.

The spelling of 2175306642 in words is "two billion, one hundred seventy-five million, three hundred six thousand, six hundred forty-two".