2081033671808 has 128 divisors (see below), whose sum is σ = 5142715576320. Its totient is φ = 816783077376.

The previous prime is 2081033671793. The next prime is 2081033671811. The reversal of 2081033671808 is 8081763301802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2081033671808² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 775910 + ... + 2182682.

It is an arithmetic number, because the mean of its divisors is an integer number (40177465440).

Almost surely, 2^{2081033671808} is an apocalyptic number.

2081033671808 is a gapful number since it is divisible by the number (28) 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 2081033671808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571357788160).

2081033671808 is an abundant number, since it is smaller than the sum of its proper divisors (3061681904512).

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

2081033671808 is a wasteful number, since it uses less digits than its factorization.

2081033671808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406934 (or 1406922 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 2081033671808 in words is "two trillion, eighty-one billion, thirty-three million, six hundred seventy-one thousand, eight hundred eight".