2081858201856 has 576 divisors, whose sum is σ = 6761192256000. Its totient is φ = 629174697984.

The previous prime is 2081858201809. The next prime is 2081858201869. The reversal of 2081858201856 is 6581028581802.

2081858201856 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 8 + 582 + 0 + 1 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 447805420 + ... + 447810068.

It is an arithmetic number, because the mean of its divisors is an integer number (11738181000).

Almost surely, 2^{2081858201856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081858201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380596128000).

2081858201856 is an abundant number, since it is smaller than the sum of its proper divisors (4679334054144).

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

2081858201856 is a wasteful number, since it uses less digits than its factorization.

2081858201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 2081858201856 in words is "two trillion, eighty-one billion, eight hundred fifty-eight million, two hundred one thousand, eight hundred fifty-six".