2028680002600 has 48 divisors (see below), whose sum is σ = 4994132838300. Its totient is φ = 763738352640.

The previous prime is 2028680002463. The next prime is 2028680002633. The reversal of 2028680002600 is 62000868202.

It can be written as a sum of positive squares in 6 ways, for example, as 393979671684 + 1634700330916 = 627678^2 + 1278554^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298331895 + ... + 298338694.

Almost surely, 2^{2028680002600} is an apocalyptic number.

2028680002600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028680002600 is an abundant number, since it is smaller than the sum of its proper divisors (2965452835700).

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

2028680002600 is a wasteful number, since it uses less digits than its factorization.

2028680002600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596670622 (or 596670613 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 2028680002600 in words is "two trillion, twenty-eight billion, six hundred eighty million, two thousand, six hundred".