2746339168820 has 96 divisors (see below), whose sum is σ = 6538832361600. Its totient is φ = 960517522944.

The previous prime is 2746339168747. The next prime is 2746339168829. The reversal of 2746339168820 is 288619336472.

2746339168820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2746339168820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746339168829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35712371 + ... + 35789189.

It is an arithmetic number, because the mean of its divisors is an integer number (68112837100).

Almost surely, 2^{2746339168820} is an apocalyptic number.

2746339168820 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 2746339168820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269416180800).

2746339168820 is an abundant number, since it is smaller than the sum of its proper divisors (3792493192780).

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

2746339168820 is a wasteful number, since it uses less digits than its factorization.

2746339168820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84097 (or 84095 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 2746339168820 in words is "two trillion, seven hundred forty-six billion, three hundred thirty-nine million, one hundred sixty-eight thousand, eight hundred twenty".