2218458240 has 512 divisors, whose sum is σ = 8592480000. Its totient is φ = 538804224.

The previous prime is 2218458223. The next prime is 2218458251. The reversal of 2218458240 is 428548122.

2218458240 is a `hidden beast` number, since 22 + 18 + 4 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2218458195 and 2218458204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9521164 + ... + 9521396.

Almost surely, 2^2218458240 is an apocalyptic number.

2218458240 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 2218458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240000).

2218458240 is an abundant number, since it is smaller than the sum of its proper divisors (6374021760).

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

2218458240 is a wasteful number, since it uses less digits than its factorization.

2218458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2218458240 is about 47100.5120991269. The cubic root of 2218458240 is about 1304.2186894066.

The spelling of 2218458240 in words is "two billion, two hundred eighteen million, four hundred fifty-eight thousand, two hundred forty".