2171266980960 has 1152 divisors, whose sum is σ = 8829819694080. Its totient is φ = 443429683200.

The previous prime is 2171266980941. The next prime is 2171266980977. The reversal of 2171266980960 is 690896621712.

It is a self number, because there is not a number n which added to its sum of digits gives 2171266980960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6048097261 + ... + 6048097619.

It is an arithmetic number, because the mean of its divisors is an integer number (7664774040).

Almost surely, 2^{2171266980960} is an apocalyptic number.

2171266980960 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 2171266980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414909847040).

2171266980960 is an abundant number, since it is smaller than the sum of its proper divisors (6658552713120).

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

2171266980960 is a wasteful number, since it uses less digits than its factorization.

2171266980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 2171266980960 in words is "two trillion, one hundred seventy-one billion, two hundred sixty-six million, nine hundred eighty thousand, nine hundred sixty".