2218518720 has 560 divisors, whose sum is σ = 8922203136. Its totient is φ = 518400000.

The previous prime is 2218518713. The next prime is 2218518817. The reversal of 2218518720 is 278158122.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8838595 + ... + 8838845.

Almost surely, 2^2218518720 is an apocalyptic number.

2218518720 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 2218518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461101568).

2218518720 is an abundant number, since it is smaller than the sum of its proper divisors (6703684416).

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

2218518720 is a wasteful number, since it uses less digits than its factorization.

2218518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2218518720 is about 47101.1541259872. The cubic root of 2218518720 is about 1304.2305412456.

The spelling of 2218518720 in words is "two billion, two hundred eighteen million, five hundred eighteen thousand, seven hundred twenty".