2081681433072 has 160 divisors (see below), whose sum is σ = 6313069152000. Its totient is φ = 654928623360.

The previous prime is 2081681433011. The next prime is 2081681433079. The reversal of 2081681433072 is 2703341861802.

2081681433072 is a `hidden beast` number, since 208 + 1 + 6 + 8 + 1 + 433 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081681433079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736547 + ... + 2679357.

It is an arithmetic number, because the mean of its divisors is an integer number (39456682200).

Almost surely, 2^{2081681433072} 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 2081681433072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156534576000).

2081681433072 is an abundant number, since it is smaller than the sum of its proper divisors (4231387718928).

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

2081681433072 is a wasteful number, since it uses less digits than its factorization.

2081681433072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943116 (or 943104 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2081681433072 in words is "two trillion, eighty-one billion, six hundred eighty-one million, four hundred thirty-three thousand, seventy-two".