2758973128704 has 1088 divisors, whose sum is σ = 9385774110720. Its totient is φ = 794988380160.

The previous prime is 2758973128693. The next prime is 2758973128763. The reversal of 2758973128704 is 4078213798572.

2758973128704 is a `hidden beast` number, since 27 + 589 + 7 + 3 + 1 + 28 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×2758973128704² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37794152412 + ... + 37794152484.

Almost surely, 2^{2758973128704} is an apocalyptic number.

2758973128704 is a gapful number since it is divisible by the number (24) 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 2758973128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692887055360).

2758973128704 is an abundant number, since it is smaller than the sum of its proper divisors (6626800982016).

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

2758973128704 is an equidigital number, since it uses as much as digits as its factorization.

2758973128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 2758973128704 in words is "two trillion, seven hundred fifty-eight billion, nine hundred seventy-three million, one hundred twenty-eight thousand, seven hundred four".