2208438429912 has 1152 divisors, whose sum is σ = 7820156897280. Its totient is φ = 556736716800.

The previous prime is 2208438429829. The next prime is 2208438429917. The reversal of 2208438429912 is 2199248348022.

2208438429912 is a `hidden beast` number, since 2 + 20 + 84 + 38 + 429 + 91 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208438429917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9728803543 + ... + 9728803769.

It is an arithmetic number, because the mean of its divisors is an integer number (6788330640).

Almost surely, 2^{2208438429912} is an apocalyptic number.

2208438429912 is a gapful number since it is divisible by the number (22) 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 2208438429912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910078448640).

2208438429912 is an abundant number, since it is smaller than the sum of its proper divisors (5611718467368).

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

2208438429912 is a wasteful number, since it uses less digits than its factorization.

2208438429912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2208438429912 in words is "two trillion, two hundred eight billion, four hundred thirty-eight million, four hundred twenty-nine thousand, nine hundred twelve".