2216251200 has 252 divisors, whose sum is σ = 7679984640. Its totient is φ = 559457280.

The previous prime is 2216251171. The next prime is 2216251201. The reversal of 2216251200 is 21526122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216251201) 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 35 ways as a sum of consecutive naturals, for example, 1732161 + ... + 1733439.

Almost surely, 2^2216251200 is an apocalyptic number.

2216251200 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 2216251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839992320).

2216251200 is an abundant number, since it is smaller than the sum of its proper divisors (5463733440).

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

2216251200 is a wasteful number, since it uses less digits than its factorization.

2216251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2216251200 is about 47077.0772244837. The cubic root of 2216251200 is about 1303.7860439111.

Adding to 2216251200 its reverse (21526122), we get a palindrome (2237777322).

The spelling of 2216251200 in words is "two billion, two hundred sixteen million, two hundred fifty-one thousand, two hundred".