2966271171040 has 192 divisors, whose sum is σ = 7219871366400. Its totient is φ = 1151160807424.

The previous prime is 2966271170897. The next prime is 2966271171043. The reversal of 2966271171040 is 401711726692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966271171043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498872771 + ... + 1498874749.

It is an arithmetic number, because the mean of its divisors is an integer number (37603496700).

Almost surely, 2^{2966271171040} is an apocalyptic number.

2966271171040 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 2966271171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609935683200).

2966271171040 is an abundant number, since it is smaller than the sum of its proper divisors (4253600195360).

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

2966271171040 is a wasteful number, since it uses less digits than its factorization.

2966271171040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 2966271171040 in words is "two trillion, nine hundred sixty-six billion, two hundred seventy-one million, one hundred seventy-one thousand, forty".