2682328320 has 864 divisors, whose sum is σ = 11632158720. Its totient is φ = 557383680.

The previous prime is 2682328301. The next prime is 2682328331. The reversal of 2682328320 is 238232862.

2682328320 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 328 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72495342 + ... + 72495378.

Almost surely, 2^2682328320 is an apocalyptic number.

2682328320 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 2682328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816079360).

2682328320 is an abundant number, since it is smaller than the sum of its proper divisors (8949830400).

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

2682328320 is a wasteful number, since it uses less digits than its factorization.

2682328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2682328320 is about 51791.1992523826. The cubic root of 2682328320 is about 1389.4320471792.

The spelling of 2682328320 in words is "two billion, six hundred eighty-two million, three hundred twenty-eight thousand, three hundred twenty".