2217103920 has 320 divisors, whose sum is σ = 8142336000. Its totient is φ = 552904704.

The previous prime is 2217103907. The next prime is 2217103937. The reversal of 2217103920 is 293017122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3652257 + ... + 3652863.

It is an arithmetic number, because the mean of its divisors is an integer number (25444800).

Almost surely, 2^2217103920 is an apocalyptic number.

2217103920 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 2217103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168000).

2217103920 is an abundant number, since it is smaller than the sum of its proper divisors (5925232080).

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

2217103920 is a wasteful number, since it uses less digits than its factorization.

2217103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2217103920 is about 47086.1329905101. The cubic root of 2217103920 is about 1303.9532364326.

The spelling of 2217103920 in words is "two billion, two hundred seventeen million, one hundred three thousand, nine hundred twenty".