2216017920 has 240 divisors, whose sum is σ = 7247536128. Its totient is φ = 578027520.

The previous prime is 2216017907. The next prime is 2216017931. The reversal of 2216017920 is 297106122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2216017920² = 9821470843522252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17448897 + ... + 17449023.

Almost surely, 2^2216017920 is an apocalyptic number.

2216017920 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 2216017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623768064).

2216017920 is an abundant number, since it is smaller than the sum of its proper divisors (5031518208).

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

2216017920 is an equidigital number, since it uses as much as digits as its factorization.

2216017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2216017920 is about 47074.5995203358. The cubic root of 2216017920 is about 1303.7402973098.

The spelling of 2216017920 in words is "two billion, two hundred sixteen million, seventeen thousand, nine hundred twenty".