2871275719648 has 192 divisors, whose sum is σ = 7068632997888. Its totient is φ = 1119598018560.

The previous prime is 2871275719583. The next prime is 2871275719667. The reversal of 2871275719648 is 8469175721782.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

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, 114139840 + ... + 114164992.

It is an arithmetic number, because the mean of its divisors is an integer number (36815796864).

Almost surely, 2^{2871275719648} is an apocalyptic number.

2871275719648 is a gapful number since it is divisible by the number (28) 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 2871275719648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534316498944).

2871275719648 is an abundant number, since it is smaller than the sum of its proper divisors (4197357278240).

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

2871275719648 is a wasteful number, since it uses less digits than its factorization.

2871275719648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26185 (or 26177 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 67.

The spelling of 2871275719648 in words is "two trillion, eight hundred seventy-one billion, two hundred seventy-five million, seven hundred nineteen thousand, six hundred forty-eight".