2680036800 has 504 divisors, whose sum is σ = 10508577408. Its totient is φ = 585676800.

The previous prime is 2680036789. The next prime is 2680036813. The reversal of 2680036800 is 86300862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32289559 + ... + 32289641.

It is an arithmetic number, because the mean of its divisors is an integer number (20850352).

Almost surely, 2^2680036800 is an apocalyptic number.

2680036800 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 2680036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254288704).

2680036800 is an abundant number, since it is smaller than the sum of its proper divisors (7828540608).

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

2680036800 is a wasteful number, since it uses less digits than its factorization.

2680036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2680036800 is about 51769.0718479673. The cubic root of 2680036800 is about 1389.0362693263.

The spelling of 2680036800 in words is "two billion, six hundred eighty million, thirty-six thousand, eight hundred".