2748193067776 has 144 divisors (see below), whose sum is σ = 6025315022496. Its totient is φ = 1243177648128.

The previous prime is 2748193067747. The next prime is 2748193067777. The reversal of 2748193067776 is 6777603918472.

It is not an unprimeable number, because it can be changed into a prime (2748193067777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182197131 + ... + 182212213.

It is an arithmetic number, because the mean of its divisors is an integer number (41842465434).

Almost surely, 2^{2748193067776} is an apocalyptic number.

2748193067776 is a gapful number since it is divisible by the number (26) 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 2748193067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012657511248).

2748193067776 is an abundant number, since it is smaller than the sum of its proper divisors (3277121954720).

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

2748193067776 is a wasteful number, since it uses less digits than its factorization.

2748193067776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16198 (or 16184 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 67.

The spelling of 2748193067776 in words is "two trillion, seven hundred forty-eight billion, one hundred ninety-three million, sixty-seven thousand, seven hundred seventy-six".