2071117988160 has 448 divisors, whose sum is σ = 7185009629952. Its totient is φ = 502421520384.

The previous prime is 2071117988143. The next prime is 2071117988161. The reversal of 2071117988160 is 618897111702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071117988161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263061984 + ... + 263069856.

It is an arithmetic number, because the mean of its divisors is an integer number (16037967924).

Almost surely, 2^{2071117988160} is an apocalyptic number.

2071117988160 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 2071117988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592504814976).

2071117988160 is an abundant number, since it is smaller than the sum of its proper divisors (5113891641792).

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

2071117988160 is a wasteful number, since it uses less digits than its factorization.

2071117988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 51.

The spelling of 2071117988160 in words is "two trillion, seventy-one billion, one hundred seventeen million, nine hundred eighty-eight thousand, one hundred sixty".