2217003440 has 80 divisors (see below), whose sum is σ = 5363466240. Its totient is φ = 851316480.

The previous prime is 2217003431. The next prime is 2217003443. The reversal of 2217003440 is 443007122.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2217003443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311441 + ... + 318479.

It is an arithmetic number, because the mean of its divisors is an integer number (67043328).

Almost surely, 2^2217003440 is an apocalyptic number.

2217003440 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 2217003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681733120).

2217003440 is an abundant number, since it is smaller than the sum of its proper divisors (3146462800).

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

2217003440 is a wasteful number, since it uses less digits than its factorization.

2217003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2217003440 is about 47085.0659976175. The cubic root of 2217003440 is about 1303.9335375814.

The spelling of 2217003440 in words is "two billion, two hundred seventeen million, three thousand, four hundred forty".