2608320000 has 800 divisors, whose sum is σ = 10738062720. Its totient is φ = 552960000.

The previous prime is 2608319993. The next prime is 2608320007. The reversal of 2608320000 is 238062.

2608320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2608319993) and next prime (2608320007).

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608320007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137279991 + ... + 137280009.

Almost surely, 2^2608320000 is an apocalyptic number.

2608320000 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 2608320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369031360).

2608320000 is an abundant number, since it is smaller than the sum of its proper divisors (8129742720).

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

2608320000 is a wasteful number, since it uses less digits than its factorization.

2608320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2608320000 is about 51071.7142849151. The cubic root of 2608320000 is about 1376.5340454517.

Adding to 2608320000 its reverse (238062), we get a palindrome (2608558062).

The spelling of 2608320000 in words is "two billion, six hundred eight million, three hundred twenty thousand".