2218735360 has 72 divisors (see below), whose sum is σ = 5366481120. Its totient is φ = 878825472.

The previous prime is 2218735349. The next prime is 2218735361. The reversal of 2218735360 is 635378122.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218735361) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 123426 + ... + 140254.

It is an arithmetic number, because the mean of its divisors is an integer number (74534460).

Almost surely, 2^2218735360 is an apocalyptic number.

2218735360 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 2218735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683240560).

2218735360 is an abundant number, since it is smaller than the sum of its proper divisors (3147745760).

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

2218735360 is a wasteful number, since it uses less digits than its factorization.

2218735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16953 (or 16939 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2218735360 is about 47103.4538011811. The cubic root of 2218735360 is about 1304.2729928906.

The spelling of 2218735360 in words is "two billion, two hundred eighteen million, seven hundred thirty-five thousand, three hundred sixty".