2868680 has 32 divisors (see below), whose sum is σ = 6679800. Its totient is φ = 1107456.

The previous prime is 2868673. The next prime is 2868689. The reversal of 2868680 is 868682.

2868680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2579236 + 289444 = 1606^2 + 538^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2868689) by changing a digit.

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, 77 + ... + 2396.

2^2868680 is an apocalyptic number.

2868680 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 2868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339900).

2868680 is an abundant number, since it is smaller than the sum of its proper divisors (3811120).

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

2868680 is a wasteful number, since it uses less digits than its factorization.

2868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2868680 is about 1693.7178041220. The cubic root of 2868680 is about 142.0890798600.

The spelling of 2868680 in words is "two million, eight hundred sixty-eight thousand, six hundred eighty".