2212482729600 has 2304 divisors, whose sum is σ = 9762878885760. Its totient is φ = 487710720000.

The previous prime is 2212482729577. The next prime is 2212482729629. The reversal of 2212482729600 is 69272842122.

2212482729600 is a `hidden beast` number, since 2 + 2 + 12 + 4 + 8 + 2 + 7 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11230876702 + ... + 11230876898.

Almost surely, 2^{2212482729600} is an apocalyptic number.

2212482729600 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 2212482729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881439442880).

2212482729600 is an abundant number, since it is smaller than the sum of its proper divisors (7550396156160).

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

2212482729600 is a wasteful number, since it uses less digits than its factorization.

2212482729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2212482729600 in words is "two trillion, two hundred twelve billion, four hundred eighty-two million, seven hundred twenty-nine thousand, six hundred".