2091681792 has 192 divisors, whose sum is σ = 6285988800. Its totient is φ = 695734272.

The previous prime is 2091681791. The next prime is 2091681799. The reversal of 2091681792 is 2971861902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2091681791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4478743 + ... + 4479209.

It is an arithmetic number, because the mean of its divisors is an integer number (32739525).

Almost surely, 2^2091681792 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 2091681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142994400).

2091681792 is an abundant number, since it is smaller than the sum of its proper divisors (4194307008).

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

2091681792 is an frugal number, since it uses more digits than its factorization.

2091681792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2091681792 is about 45734.9078057451. The cubic root of 2091681792 is about 1278.8861142853.

The spelling of 2091681792 in words is "two billion, ninety-one million, six hundred eighty-one thousand, seven hundred ninety-two".