2085338304000 has 640 divisors, whose sum is σ = 8804150784000. Its totient is φ = 476645990400.

The previous prime is 2085338303981. The next prime is 2085338304079. The reversal of 2085338304000 is 4038335802.

2085338304000 is a `hidden beast` number, since 2 + 0 + 8 + 533 + 83 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12009801 + ... + 12182199.

It is an arithmetic number, because the mean of its divisors is an integer number (13756485600).

Almost surely, 2^{2085338304000} is an apocalyptic number.

2085338304000 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 2085338304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402075392000).

2085338304000 is an abundant number, since it is smaller than the sum of its proper divisors (6718812480000).

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

2085338304000 is an equidigital number, since it uses as much as digits as its factorization.

2085338304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172448 (or 172416 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2085338304000 in words is "two trillion, eighty-five billion, three hundred thirty-eight million, three hundred four thousand".