2217289672 has 64 divisors (see below), whose sum is σ = 4637606400. Its totient is φ = 987329280.

The previous prime is 2217289661. The next prime is 2217289687. The reversal of 2217289672 is 2769827122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343854 + ... + 350242.

It is an arithmetic number, because the mean of its divisors is an integer number (72462600).

Almost surely, 2^2217289672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217289672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318803200).

2217289672 is an abundant number, since it is smaller than the sum of its proper divisors (2420316728).

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

2217289672 is a wasteful number, since it uses less digits than its factorization.

2217289672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6522 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 2217289672 is about 47088.1054195218. The cubic root of 2217289672 is about 1303.9896510777.

The spelling of 2217289672 in words is "two billion, two hundred seventeen million, two hundred eighty-nine thousand, six hundred seventy-two".