2081255328000 has 864 divisors, whose sum is σ = 8144510381280. Its totient is φ = 508192358400.

The previous prime is 2081255327989. The next prime is 2081255328029. The reversal of 2081255328000 is 8235521802.

2081255328000 is a `hidden beast` number, since 2 + 0 + 81 + 2 + 553 + 28 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1006699182336 + 1074556145664 = 1003344^2 + 1036608^2 .

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

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, 181146256 + ... + 181157744.

It is an arithmetic number, because the mean of its divisors is an integer number (9426516645).

Almost surely, 2^{2081255328000} is an apocalyptic number.

2081255328000 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 2081255328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072255190640).

2081255328000 is an abundant number, since it is smaller than the sum of its proper divisors (6063255053280).

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

2081255328000 is a wasteful number, since it uses less digits than its factorization.

2081255328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2081255328000 in words is "two trillion, eighty-one billion, two hundred fifty-five million, three hundred twenty-eight thousand".