2671075160 has 64 divisors (see below), whose sum is σ = 6695438400. Its totient is φ = 952229376.

The previous prime is 2671075159. The next prime is 2671075201. The reversal of 2671075160 is 615701762.

It is a self number, because there is not a number n which added to its sum of digits gives 2671075160.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73484 + ... + 103643.

It is an arithmetic number, because the mean of its divisors is an integer number (104616225).

Almost surely, 2^2671075160 is an apocalyptic number.

2671075160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671075160 is an abundant number, since it is smaller than the sum of its proper divisors (4024363240).

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

2671075160 is a wasteful number, since it uses less digits than its factorization.

2671075160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177180 (or 177176 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 2671075160 is about 51682.4453755818. The cubic root of 2671075160 is about 1387.4862976219.

The spelling of 2671075160 in words is "two billion, six hundred seventy-one million, seventy-five thousand, one hundred sixty".