2221585920 has 160 divisors (see below), whose sum is σ = 7891503840. Its totient is φ = 592404480.

The previous prime is 2221585907. The next prime is 2221585921. The reversal of 2221585920 is 295851222.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221585921) 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, 53050 + ... + 85190.

It is an arithmetic number, because the mean of its divisors is an integer number (49321899).

Almost surely, 2^2221585920 is an apocalyptic number.

2221585920 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 2221585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945751920).

2221585920 is an abundant number, since it is smaller than the sum of its proper divisors (5669917920).

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

2221585920 is an equidigital number, since it uses as much as digits as its factorization.

2221585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32173 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2221585920 is about 47133.7025916700. The cubic root of 2221585920 is about 1304.8313165508.

The spelling of 2221585920 in words is "two billion, two hundred twenty-one million, five hundred eighty-five thousand, nine hundred twenty".