2216314800 has 360 divisors, whose sum is σ = 9031339616. Its totient is φ = 492687360.

The previous prime is 2216314759. The next prime is 2216314817. The reversal of 2216314800 is 84136122.

2216314800 is a `hidden beast` number, since 2 + 21 + 631 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 931212 + ... + 933588.

Almost surely, 2^2216314800 is an apocalyptic number.

2216314800 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 2216314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515669808).

2216314800 is an abundant number, since it is smaller than the sum of its proper divisors (6815024816).

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

2216314800 is a wasteful number, since it uses less digits than its factorization.

2216314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2216314800 is about 47077.7527076219. The cubic root of 2216314800 is about 1303.7985154214.

It can be divided in two parts, 22163 and 14800, that added together give a palindrome (36963).

The spelling of 2216314800 in words is "two billion, two hundred sixteen million, three hundred fourteen thousand, eight hundred".