2028680 has 32 divisors (see below), whose sum is σ = 4679640. Its totient is φ = 791040.

The previous prime is 2028679. The next prime is 2028701. The reversal of 2028680 is 868202.

It can be written as a sum of positive squares in 4 ways, for example, as 1359556 + 669124 = 1166^2 + 818^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022 + ... + 2258.

2^2028680 is an apocalyptic number.

2028680 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 2028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339820).

2028680 is an abundant number, since it is smaller than the sum of its proper divisors (2650960).

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

2028680 is a wasteful number, since it uses less digits than its factorization.

2028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2028680 is about 1424.3173803616. The cubic root of 2028680 is about 126.5914912501.

The spelling of 2028680 in words is "two million, twenty-eight thousand, six hundred eighty".