2680200 has 72 divisors (see below), whose sum is σ = 9007050. Its totient is φ = 714240.

The previous prime is 2680141. The next prime is 2680231. The reversal of 2680200 is 20862.

It can be written as a sum of positive squares in 3 ways, for example, as 1602756 + 1077444 = 1266^2 + 1038^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1056 + ... + 2544.

2^2680200 is an apocalyptic number.

2680200 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 2680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503525).

2680200 is an abundant number, since it is smaller than the sum of its proper divisors (6326850).

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

2680200 is a wasteful number, since it uses less digits than its factorization.

2680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2680200 is about 1637.1316379571. The cubic root of 2680200 is about 138.9064463730.

The spelling of 2680200 in words is "two million, six hundred eighty thousand, two hundred".