2212116480 has 576 divisors, whose sum is σ = 9158123520. Its totient is φ = 501645312.

The previous prime is 2212116479. The next prime is 2212116493. The reversal of 2212116480 is 846112122.

2212116480 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 11 + 648 + 0 = 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).

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 47 ways as a sum of consecutive naturals, for example, 17418177 + ... + 17418303.

It is an arithmetic number, because the mean of its divisors is an integer number (15899520).

Almost surely, 2^2212116480 is an apocalyptic number.

2212116480 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 2212116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579061760).

2212116480 is an abundant number, since it is smaller than the sum of its proper divisors (6946007040).

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

2212116480 is an equidigital number, since it uses as much as digits as its factorization.

2212116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2212116480 is about 47033.1423572782. The cubic root of 2212116480 is about 1302.9747420560.

The spelling of 2212116480 in words is "two billion, two hundred twelve million, one hundred sixteen thousand, four hundred eighty".