2680491541728 has 1536 divisors, whose sum is σ = 10170914439168. Its totient is φ = 595803340800.

The previous prime is 2680491541703. The next prime is 2680491541801. The reversal of 2680491541728 is 8271451940862.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9148435150 + ... + 9148435442.

It is an arithmetic number, because the mean of its divisors is an integer number (6621689088).

Almost surely, 2^{2680491541728} is an apocalyptic number.

2680491541728 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 2680491541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085457219584).

2680491541728 is an abundant number, since it is smaller than the sum of its proper divisors (7490422897440).

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

2680491541728 is a wasteful number, since it uses less digits than its factorization.

2680491541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 2680491541728 in words is "two trillion, six hundred eighty billion, four hundred ninety-one million, five hundred forty-one thousand, seven hundred twenty-eight".