2728518130080 has 384 divisors, whose sum is σ = 9667410600960. Its totient is φ = 718685291520.

The previous prime is 2728518130067. The next prime is 2728518130097. The reversal of 2728518130080 is 800318158272.

2728518130080 is a `hidden beast` number, since 2 + 7 + 28 + 518 + 1 + 30 + 0 + 80 = 666.

It is a super-2 number, since 2×2728518130080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160388775 + ... + 160405785.

It is an arithmetic number, because the mean of its divisors is an integer number (25175548440).

Almost surely, 2^{2728518130080} is an apocalyptic number.

2728518130080 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 2728518130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833705300480).

2728518130080 is an abundant number, since it is smaller than the sum of its proper divisors (6938892470880).

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

2728518130080 is a wasteful number, since it uses less digits than its factorization.

2728518130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17489 (or 17475 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 2728518130080 in words is "two trillion, seven hundred twenty-eight billion, five hundred eighteen million, one hundred thirty thousand, eighty".