2671105984960 has 168 divisors, whose sum is σ = 7401408991920. Its totient is φ = 915513532416.

The previous prime is 2671105984957. The next prime is 2671105984993. The reversal of 2671105984960 is 694895011762.

It is a junction number, because it is equal to n+sod(n) for n = 2671105984895 and 2671105984904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51922131 + ... + 51973549.

Almost surely, 2^{2671105984960} is an apocalyptic number.

2671105984960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671105984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700704495960).

2671105984960 is an abundant number, since it is smaller than the sum of its proper divisors (4730303006960).

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

2671105984960 is a wasteful number, since it uses less digits than its factorization.

2671105984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54763 (or 54746 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 2671105984960 in words is "two trillion, six hundred seventy-one billion, one hundred five million, nine hundred eighty-four thousand, nine hundred sixty".