2217466944 has 504 divisors, whose sum is σ = 8466539328. Its totient is φ = 538951680.

The previous prime is 2217466939. The next prime is 2217466963. The reversal of 2217466944 is 4496647122.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2217466944.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12817642 + ... + 12817814.

Almost surely, 2^2217466944 is an apocalyptic number.

2217466944 is a gapful number since it is divisible by the number (24) 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 2217466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233269664).

2217466944 is an abundant number, since it is smaller than the sum of its proper divisors (6249072384).

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

2217466944 is a wasteful number, since it uses less digits than its factorization.

2217466944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2217466944 is about 47089.9877256302. The cubic root of 2217466944 is about 1304.0244014152.

The spelling of 2217466944 in words is "two billion, two hundred seventeen million, four hundred sixty-six thousand, nine hundred forty-four".