2216560920 has 128 divisors (see below), whose sum is σ = 7630640640. Its totient is φ = 504576000.

The previous prime is 2216560909. The next prime is 2216560967. The reversal of 2216560920 is 290656122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205584 + ... + 216096.

It is an arithmetic number, because the mean of its divisors is an integer number (59614380).

Almost surely, 2^2216560920 is an apocalyptic number.

2216560920 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 2216560920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815320320).

2216560920 is an abundant number, since it is smaller than the sum of its proper divisors (5414079720).

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

2216560920 is a wasteful number, since it uses less digits than its factorization.

2216560920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2216560920 is about 47080.3666085981. The cubic root of 2216560920 is about 1303.8467755653.

The spelling of 2216560920 in words is "two billion, two hundred sixteen million, five hundred sixty thousand, nine hundred twenty".