2748931685280 has 1152 divisors, whose sum is σ = 11357837729280. Its totient is φ = 618231398400.

The previous prime is 2748931685239. The next prime is 2748931685471. The reversal of 2748931685280 is 825861398472.

2748931685280 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 93 + 16 + 8 + 528 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 630920862 + ... + 630925218.

It is an arithmetic number, because the mean of its divisors is an integer number (9859234140).

It is a 1-persistent number, because it is pandigital, but 2⋅2748931685280 = 5497863370560 is not.

Almost surely, 2^{2748931685280} is an apocalyptic number.

2748931685280 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 2748931685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678918864640).

2748931685280 is an abundant number, since it is smaller than the sum of its proper divisors (8608906044000).

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

2748931685280 is a wasteful number, since it uses less digits than its factorization.

2748931685280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2748931685280 in words is "two trillion, seven hundred forty-eight billion, nine hundred thirty-one million, six hundred eighty-five thousand, two hundred eighty".