2006679800 has 48 divisors (see below), whose sum is σ = 4695320760. Its totient is φ = 797546880.

The previous prime is 2006679791. The next prime is 2006679803. The reversal of 2006679800 is 89766002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006679803) by changing a digit.

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, 554 + ... + 63353.

Almost surely, 2^2006679800 is an apocalyptic number.

2006679800 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 2006679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347660380).

2006679800 is an abundant number, since it is smaller than the sum of its proper divisors (2688640960).

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

2006679800 is a wasteful number, since it uses less digits than its factorization.

2006679800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64080 (or 64071 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2006679800 is about 44795.9797303285. The cubic root of 2006679800 is about 1261.3221612982.

The spelling of 2006679800 in words is "two billion, six million, six hundred seventy-nine thousand, eight hundred".