2749872871680 has 432 divisors, whose sum is σ = 9858858492672. Its totient is φ = 652446924800.

The previous prime is 2749872871649. The next prime is 2749872871729. The reversal of 2749872871680 is 861782789472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21775120 + ... + 21901040.

It is an arithmetic number, because the mean of its divisors is an integer number (22821431696).

Almost surely, 2^{2749872871680} is an apocalyptic number.

2749872871680 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 2749872871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929429246336).

2749872871680 is an abundant number, since it is smaller than the sum of its proper divisors (7108985620992).

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

2749872871680 is a wasteful number, since it uses less digits than its factorization.

2749872871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126014 (or 125989 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 69.

The spelling of 2749872871680 in words is "two trillion, seven hundred forty-nine billion, eight hundred seventy-two million, eight hundred seventy-one thousand, six hundred eighty".