2085592320 has 576 divisors, whose sum is σ = 8724119040. Its totient is φ = 461832192.

The previous prime is 2085592303. The next prime is 2085592339. The reversal of 2085592320 is 232955802.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8950924 + ... + 8951156.

It is an arithmetic number, because the mean of its divisors is an integer number (15146040).

Almost surely, 2^2085592320 is an apocalyptic number.

2085592320 is a gapful number since it is divisible by the number (20) 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 2085592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362059520).

2085592320 is an abundant number, since it is smaller than the sum of its proper divisors (6638526720).

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

2085592320 is a wasteful number, since it uses less digits than its factorization.

2085592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2085592320 is about 45668.2857133920. The cubic root of 2085592320 is about 1277.6438426527.

The spelling of 2085592320 in words is "two billion, eighty-five million, five hundred ninety-two thousand, three hundred twenty".