2218954240 has 160 divisors (see below), whose sum is σ = 5724838944. Its totient is φ = 821821440.

The previous prime is 2218954207. The next prime is 2218954261. The reversal of 2218954240 is 424598122.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2218954240.

It is a congruent number.

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, 2915460 + ... + 2916220.

Almost surely, 2^2218954240 is an apocalyptic number.

2218954240 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 2218954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862419472).

2218954240 is an abundant number, since it is smaller than the sum of its proper divisors (3505884704).

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

2218954240 is an equidigital number, since it uses as much as digits as its factorization.

2218954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2218954240 is about 47105.7771403891. Note that the first 3 decimals coincide. The cubic root of 2218954240 is about 1304.3158806682.

The spelling of 2218954240 in words is "two billion, two hundred eighteen million, nine hundred fifty-four thousand, two hundred forty".