2081915136000 has 1728 divisors, whose sum is σ = 9065898354240. Its totient is φ = 475169587200.

The previous prime is 2081915135869. The next prime is 2081915136023. The reversal of 2081915136000 is 6315191802.

2081915136000 is a `hidden beast` number, since 2 + 0 + 81 + 9 + 1 + 513 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 3048191659 + ... + 3048192341.

It is an arithmetic number, because the mean of its divisors is an integer number (5246468955).

Almost surely, 2^{2081915136000} is an apocalyptic number.

2081915136000 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 2081915136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532949177120).

2081915136000 is an abundant number, since it is smaller than the sum of its proper divisors (6983983218240).

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

2081915136000 is an frugal number, since it uses more digits than its factorization.

2081915136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 2081915136000 in words is "two trillion, eighty-one billion, nine hundred fifteen million, one hundred thirty-six thousand".