2082889686528 has 960 divisors, whose sum is σ = 7412645560320. Its totient is φ = 571368038400.

The previous prime is 2082889686481. The next prime is 2082889686533. The reversal of 2082889686528 is 8256869882802.

2082889686528 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 8 + 8 + 96 + 8 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4832690473 + ... + 4832690903.

It is an arithmetic number, because the mean of its divisors is an integer number (7721505792).

Almost surely, 2^{2082889686528} is an apocalyptic number.

2082889686528 is a gapful number since it is divisible by the number (28) 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 2082889686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706322780160).

2082889686528 is an abundant number, since it is smaller than the sum of its proper divisors (5329755873792).

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

2082889686528 is an equidigital number, since it uses as much as digits as its factorization.

2082889686528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 2082889686528 in words is "two trillion, eighty-two billion, eight hundred eighty-nine million, six hundred eighty-six thousand, five hundred twenty-eight".