2971109806080 has 416 divisors, whose sum is σ = 10776530432640. Its totient is φ = 692854456320.

The previous prime is 2971109806069. The next prime is 2971109806103. The reversal of 2971109806080 is 806089011792.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15077790 + ... + 15273570.

Almost surely, 2^{2971109806080} is an apocalyptic number.

2971109806080 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 2971109806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388265216320).

2971109806080 is an abundant number, since it is smaller than the sum of its proper divisors (7805420626560).

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

2971109806080 is a wasteful number, since it uses less digits than its factorization.

2971109806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195845 (or 195823 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 2971109806080 in words is "two trillion, nine hundred seventy-one billion, one hundred nine million, eight hundred six thousand, eighty".