2680328000 has 224 divisors, whose sum is σ = 7919728128. Its totient is φ = 878592000.

The previous prime is 2680327997. The next prime is 2680328033. The reversal of 2680328000 is 8230862.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286960 + ... + 1289040.

Almost surely, 2^2680328000 is an apocalyptic number.

2680328000 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 2680328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959864064).

2680328000 is an abundant number, since it is smaller than the sum of its proper divisors (5239400128).

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

2680328000 is a wasteful number, since it uses less digits than its factorization.

2680328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2680328000 is about 51771.8842616337. The cubic root of 2680328000 is about 1389.0865761868.

Adding to 2680328000 its reverse (8230862), we get a palindrome (2688558862).

The spelling of 2680328000 in words is "two billion, six hundred eighty million, three hundred twenty-eight thousand".