2217920320 has 336 divisors, whose sum is σ = 6810451200. Its totient is φ = 687160320.

The previous prime is 2217920303. The next prime is 2217920323. The reversal of 2217920320 is 230297122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217920323) 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 47 ways as a sum of consecutive naturals, for example, 13280877 + ... + 13281043.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 2^2217920320 is an apocalyptic number.

2217920320 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 2217920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405225600).

2217920320 is an abundant number, since it is smaller than the sum of its proper divisors (4592530880).

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

2217920320 is a wasteful number, since it uses less digits than its factorization.

2217920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2217920320 is about 47094.8014116208. The cubic root of 2217920320 is about 1304.1132675395.

The spelling of 2217920320 in words is "two billion, two hundred seventeen million, nine hundred twenty thousand, three hundred twenty".