2671406917216 has 96 divisors (see below), whose sum is σ = 5737343724000. Its totient is φ = 1219570716672.

The previous prime is 2671406917117. The next prime is 2671406917243. The reversal of 2671406917216 is 6127196041762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9685020 + ... + 9957028.

It is an arithmetic number, because the mean of its divisors is an integer number (59763997125).

Almost surely, 2^{2671406917216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671406917216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868671862000).

2671406917216 is an abundant number, since it is smaller than the sum of its proper divisors (3065936806784).

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

2671406917216 is a wasteful number, since it uses less digits than its factorization.

2671406917216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272624 (or 272616 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 2671406917216 in words is "two trillion, six hundred seventy-one billion, four hundred six million, nine hundred seventeen thousand, two hundred sixteen".