2748597116160 has 288 divisors, whose sum is σ = 10034730139392. Its totient is φ = 628103577600.

The previous prime is 2748597116149. The next prime is 2748597116203. The reversal of 2748597116160 is 616117958472.

It is a super-2 number, since 2×2748597116160² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2748597116160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149362960 + ... + 149381360.

It is an arithmetic number, because the mean of its divisors is an integer number (34842812984).

Almost surely, 2^{2748597116160} is an apocalyptic number.

2748597116160 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 2748597116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017365069696).

2748597116160 is an abundant number, since it is smaller than the sum of its proper divisors (7286133023232).

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

2748597116160 is a wasteful number, since it uses less digits than its factorization.

2748597116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23989 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 2748597116160 in words is "two trillion, seven hundred forty-eight billion, five hundred ninety-seven million, one hundred sixteen thousand, one hundred sixty".