2871967047040 has 512 divisors, whose sum is σ = 8830989619200. Its totient is φ = 868093231104.

The previous prime is 2871967046999. The next prime is 2871967047073. The reversal of 2871967047040 is 407407691782.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231017714 + ... + 1231020046.

It is an arithmetic number, because the mean of its divisors is an integer number (17248026600).

Almost surely, 2^{2871967047040} is an apocalyptic number.

2871967047040 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 2871967047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415494809600).

2871967047040 is an abundant number, since it is smaller than the sum of its proper divisors (5959022572160).

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

2871967047040 is a wasteful number, since it uses less digits than its factorization.

2871967047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 2871967047040 in words is "two trillion, eight hundred seventy-one billion, nine hundred sixty-seven million, forty-seven thousand, forty".