2218948368 has 240 divisors, whose sum is σ = 7406668800. Its totient is φ = 559443456.

The previous prime is 2218948367. The next prime is 2218948387. The reversal of 2218948368 is 8638498122.

It is a self number, because there is not a number n which added to its sum of digits gives 2218948368.

It is not an unprimeable number, because it can be changed into a prime (2218948363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305183 + ... + 1306881.

It is an arithmetic number, because the mean of its divisors is an integer number (30861120).

Almost surely, 2^2218948368 is an apocalyptic number.

2218948368 is a gapful number since it is divisible by the number (28) 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 2218948368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703334400).

2218948368 is an abundant number, since it is smaller than the sum of its proper divisors (5187720432).

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

2218948368 is a wasteful number, since it uses less digits than its factorization.

2218948368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1747 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 2218948368 is about 47105.7148125363. The cubic root of 2218948368 is about 1304.3147301338.

The spelling of 2218948368 in words is "two billion, two hundred eighteen million, nine hundred forty-eight thousand, three hundred sixty-eight".