2081087971200 has 1152 divisors, whose sum is σ = 8815263912000. Its totient is φ = 457585459200.

The previous prime is 2081087971099. The next prime is 2081087971219. The reversal of 2081087971200 is 21797801802.

2081087971200 is a `hidden beast` number, since 208 + 108 + 79 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 603387076 + ... + 603390524.

Almost surely, 2^{2081087971200} is an apocalyptic number.

2081087971200 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 2081087971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407631956000).

2081087971200 is an abundant number, since it is smaller than the sum of its proper divisors (6734175940800).

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

2081087971200 is a wasteful number, since it uses less digits than its factorization.

2081087971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 2081087971200 in words is "two trillion, eighty-one billion, eighty-seven million, nine hundred seventy-one thousand, two hundred".