2628460890672 has 20 divisors (see below), whose sum is σ = 6790190634360. Its totient is φ = 876153630208.

The previous prime is 2628460890667. The next prime is 2628460890689. The reversal of 2628460890672 is 2760980648262.

2628460890672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2628460890672³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27379800897 + ... + 27379800992.

It is an arithmetic number, because the mean of its divisors is an integer number (339509531718).

Almost surely, 2^{2628460890672} is an apocalyptic number.

It is an amenable number.

2628460890672 is an abundant number, since it is smaller than the sum of its proper divisors (4161729743688).

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

2628460890672 is a wasteful number, since it uses less digits than its factorization.

2628460890672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54759601900 (or 54759601894 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 2628460890672 in words is "two trillion, six hundred twenty-eight billion, four hundred sixty million, eight hundred ninety thousand, six hundred seventy-two".