2185581920 has 48 divisors (see below), whose sum is σ = 5166231840. Its totient is φ = 873759744.

The previous prime is 2185581919. The next prime is 2185581977. The reversal of 2185581920 is 291855812.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 585821 + ... + 589539.

It is an arithmetic number, because the mean of its divisors is an integer number (107629830).

Almost surely, 2^2185581920 is an apocalyptic number.

2185581920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185581920 is an abundant number, since it is smaller than the sum of its proper divisors (2980649920).

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

2185581920 is a wasteful number, since it uses less digits than its factorization.

2185581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The square root of 2185581920 is about 46750.2077000734. The cubic root of 2185581920 is about 1297.7440004536.

The spelling of 2185581920 in words is "two billion, one hundred eighty-five million, five hundred eighty-one thousand, nine hundred twenty".