2171177667 has 12 divisors (see below), whose sum is σ = 3272499984. Its totient is φ = 1384518960.

The previous prime is 2171177653. The next prime is 2171177711. The reversal of 2171177667 is 7667711712.

It is not a de Polignac number, because 2171177667 - 2⁴ = 2171177651 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2171177467) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5244184 + ... + 5244597.

It is an arithmetic number, because the mean of its divisors is an integer number (272708332).

Almost surely, 2^2171177667 is an apocalyptic number.

2171177667 is a deficient number, since it is larger than the sum of its proper divisors (1101322317).

2171177667 is a wasteful number, since it uses less digits than its factorization.

2171177667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488810 (or 10488807 counting only the distinct ones).

The product of its digits is 172872, while the sum is 45.

The square root of 2171177667 is about 46595.8975340104. The cubic root of 2171177667 is about 1294.8867522699.

The spelling of 2171177667 in words is "two billion, one hundred seventy-one million, one hundred seventy-seven thousand, six hundred sixty-seven".