2216253312 has 576 divisors, whose sum is σ = 8431768800. Its totient is φ = 564350976.

The previous prime is 2216253287. The next prime is 2216253313. The reversal of 2216253312 is 2133526122.

It is a happy number.

2216253312 is a `hidden beast` number, since 2 + 2 + 1 + 625 + 3 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (4320) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216253313) 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 71 ways as a sum of consecutive naturals, for example, 76422514 + ... + 76422542.

Almost surely, 2^2216253312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215884400).

2216253312 is an abundant number, since it is smaller than the sum of its proper divisors (6215515488).

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

2216253312 is an frugal number, since it uses more digits than its factorization.

2216253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2216253312 is about 47077.0996557774. The cubic root of 2216253312 is about 1303.7864580632.

Adding to 2216253312 its reverse (2133526122), we get a palindrome (4349779434).

It can be divided in two parts, 2216253 and 312, that added together give a triangular number (2216565 = T₂₁₀₅).

The spelling of 2216253312 in words is "two billion, two hundred sixteen million, two hundred fifty-three thousand, three hundred twelve".