2085981984 has 144 divisors (see below), whose sum is σ = 6175679328. Its totient is φ = 692623872.

The previous prime is 2085981983. The next prime is 2085982001. The reversal of 2085981984 is 4891895802.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2085981984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085981983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3553339 + ... + 3553925.

It is an arithmetic number, because the mean of its divisors is an integer number (42886662).

Almost surely, 2^2085981984 is an apocalyptic number.

2085981984 is a gapful number since it is divisible by the number (24) 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 2085981984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087839664).

2085981984 is an abundant number, since it is smaller than the sum of its proper divisors (4089697344).

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

2085981984 is an equidigital number, since it uses as much as digits as its factorization.

2085981984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The square root of 2085981984 is about 45672.5517570455. The cubic root of 2085981984 is about 1277.7234077085.

The spelling of 2085981984 in words is "two billion, eighty-five million, nine hundred eighty-one thousand, nine hundred eighty-four".