2221823520 has 480 divisors, whose sum is σ = 9440323200. Its totient is φ = 480743424.

The previous prime is 2221823503. The next prime is 2221823521. The reversal of 2221823520 is 253281222.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221823521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723036 + ... + 1724324.

It is an arithmetic number, because the mean of its divisors is an integer number (19667340).

Almost surely, 2^2221823520 is an apocalyptic number.

2221823520 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 2221823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720161600).

2221823520 is an abundant number, since it is smaller than the sum of its proper divisors (7218499680).

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

2221823520 is a wasteful number, since it uses less digits than its factorization.

2221823520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2221823520 is about 47136.2230137290. The cubic root of 2221823520 is about 1304.8778324003.

The spelling of 2221823520 in words is "two billion, two hundred twenty-one million, eight hundred twenty-three thousand, five hundred twenty".