2218310016 has 128 divisors (see below), whose sum is σ = 6397440000. Its totient is φ = 676988928.

The previous prime is 2218309999. The next prime is 2218310047. The reversal of 2218310016 is 6100138122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 632235 + ... + 635733.

It is an arithmetic number, because the mean of its divisors is an integer number (49980000).

Almost surely, 2^2218310016 is an apocalyptic number.

2218310016 is a gapful number since it is divisible by the number (26) 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 2218310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198720000).

2218310016 is an abundant number, since it is smaller than the sum of its proper divisors (4179129984).

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

2218310016 is a wasteful number, since it uses less digits than its factorization.

2218310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2218310016 is about 47098.9385867665. The cubic root of 2218310016 is about 1304.1896420840.

Adding to 2218310016 its reverse (6100138122), we get a palindrome (8318448138).

The spelling of 2218310016 in words is "two billion, two hundred eighteen million, three hundred ten thousand, sixteen".