2671771205009 has 8 divisors (see below), whose sum is σ = 2756639986560. Its totient is φ = 2588178645936.

The previous prime is 2671771204937. The next prime is 2671771205017. The reversal of 2671771205009 is 9005021771762.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2671771205009 is a prime.

It is a super-2 number, since 2×2671771205009² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2671771205039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319051367 + ... + 319059740.

It is an arithmetic number, because the mean of its divisors is an integer number (344579998320).

Almost surely, 2^{2671771205009} is an apocalyptic number.

It is an amenable number.

2671771205009 is a deficient number, since it is larger than the sum of its proper divisors (84868781551).

2671771205009 is an equidigital number, since it uses as much as digits as its factorization.

2671771205009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638111239.

The product of its (nonzero) digits is 370440, while the sum is 47.

The spelling of 2671771205009 in words is "two trillion, six hundred seventy-one billion, seven hundred seventy-one million, two hundred five thousand, nine".