2682320026320 has 1280 divisors, whose sum is σ = 11205054259200. Its totient is φ = 581768478720.

The previous prime is 2682320026289. The next prime is 2682320026363. The reversal of 2682320026320 is 236200232862.

2682320026320 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 320 + 0 + 2 + 6 + 320 = 666.

2682320026320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1662937834 + ... + 1662939446.

It is an arithmetic number, because the mean of its divisors is an integer number (8753948640).

Almost surely, 2^{2682320026320} is an apocalyptic number.

2682320026320 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 2682320026320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602527129600).

2682320026320 is an abundant number, since it is smaller than the sum of its proper divisors (8522734232880).

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

2682320026320 is a wasteful number, since it uses less digits than its factorization.

2682320026320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2682320026320 in words is "two trillion, six hundred eighty-two billion, three hundred twenty million, twenty-six thousand, three hundred twenty".