2216332800 has 720 divisors, whose sum is σ = 9110510640. Its totient is φ = 527155200.

The previous prime is 2216332793. The next prime is 2216332813. The reversal of 2216332800 is 82336122.

2216332800 is a `hidden beast` number, since 2 + 2 + 1 + 633 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 41817574 + ... + 41817626.

It is an arithmetic number, because the mean of its divisors is an integer number (12653487).

Almost surely, 2^2216332800 is an apocalyptic number.

2216332800 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 2216332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555255320).

2216332800 is an abundant number, since it is smaller than the sum of its proper divisors (6894177840).

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

2216332800 is a wasteful number, since it uses less digits than its factorization.

2216332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2216332800 is about 47077.9438803353. The cubic root of 2216332800 is about 1303.8020450508.

Adding to 2216332800 its reverse (82336122), we get a palindrome (2298668922).

The spelling of 2216332800 in words is "two billion, two hundred sixteen million, three hundred thirty-two thousand, eight hundred".