2218721120 has 192 divisors, whose sum is σ = 6627350016. Its totient is φ = 681799680.

The previous prime is 2218721101. The next prime is 2218721149. The reversal of 2218721120 is 211278122.

It is a self number, because there is not a number n which added to its sum of digits gives 2218721120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898127 + ... + 900593.

It is an arithmetic number, because the mean of its divisors is an integer number (34517448).

Almost surely, 2^2218721120 is an apocalyptic number.

2218721120 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 2218721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313675008).

2218721120 is an abundant number, since it is smaller than the sum of its proper divisors (4408628896).

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

2218721120 is a wasteful number, since it uses less digits than its factorization.

2218721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 2218721120 is about 47103.3026442945. The cubic root of 2218721120 is about 1304.2702025793.

Adding to 2218721120 its reverse (211278122), we get a palindrome (2429999242).

The spelling of 2218721120 in words is "two billion, two hundred eighteen million, seven hundred twenty-one thousand, one hundred twenty".