2217279680 has 336 divisors, whose sum is σ = 6881262336. Its totient is φ = 661032960.

The previous prime is 2217279653. The next prime is 2217279697. The reversal of 2217279680 is 869727122.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 47 ways as a sum of consecutive naturals, for example, 20722187 + ... + 20722293.

Almost surely, 2^2217279680 is an apocalyptic number.

2217279680 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 2217279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440631168).

2217279680 is an abundant number, since it is smaller than the sum of its proper divisors (4663982656).

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

2217279680 is a wasteful number, since it uses less digits than its factorization.

2217279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 2217279680 is about 47087.9993204213. Note that the first 3 decimals coincide. The cubic root of 2217279680 is about 1303.9876923073.

The spelling of 2217279680 in words is "two billion, two hundred seventeen million, two hundred seventy-nine thousand, six hundred eighty".