2945741708728 has 192 divisors, whose sum is σ = 7128515358720. Its totient is φ = 1116119347200.

The previous prime is 2945741708717. The next prime is 2945741708747. The reversal of 2945741708728 is 8278071475492.

It is a self number, because there is not a number n which added to its sum of digits gives 2945741708728.

It is a congruent number.

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, 28406493 + ... + 28510003.

It is an arithmetic number, because the mean of its divisors is an integer number (37127684160).

Almost surely, 2^{2945741708728} is an apocalyptic number.

2945741708728 is a gapful number since it is divisible by the number (28) 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 2945741708728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564257679360).

2945741708728 is an abundant number, since it is smaller than the sum of its proper divisors (4182773649992).

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

2945741708728 is a wasteful number, since it uses less digits than its factorization.

2945741708728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103678 (or 103661 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 64.

The spelling of 2945741708728 in words is "two trillion, nine hundred forty-five billion, seven hundred forty-one million, seven hundred eight thousand, seven hundred twenty-eight".