2671895967 has 32 divisors (see below), whose sum is σ = 4107983040. Its totient is φ = 1530101760.

The previous prime is 2671895951. The next prime is 2671895969. The reversal of 2671895967 is 7695981762.

It is not a de Polignac number, because 2671895967 - 2⁴ = 2671895951 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2671895967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671895969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36367 + ... + 81647.

It is an arithmetic number, because the mean of its divisors is an integer number (128374470).

Almost surely, 2^2671895967 is an apocalyptic number.

2671895967 is a deficient number, since it is larger than the sum of its proper divisors (1436087073).

2671895967 is a wasteful number, since it uses less digits than its factorization.

2671895967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45403.

The product of its digits is 11430720, while the sum is 60.

The square root of 2671895967 is about 51690.3856340809. The cubic root of 2671895967 is about 1387.6284054202.

The spelling of 2671895967 in words is "two billion, six hundred seventy-one million, eight hundred ninety-five thousand, nine hundred sixty-seven".