2206083820320 has 672 divisors, whose sum is σ = 8210196288000. Its totient is φ = 558833375232.

The previous prime is 2206083820249. The next prime is 2206083820349. The reversal of 2206083820320 is 230283806022.

2206083820320 is a `hidden beast` number, since 2 + 2 + 0 + 608 + 3 + 8 + 20 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 399722521 + ... + 399728039.

It is an arithmetic number, because the mean of its divisors is an integer number (12217554000).

Almost surely, 2^{2206083820320} is an apocalyptic number.

2206083820320 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 2206083820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105098144000).

2206083820320 is an abundant number, since it is smaller than the sum of its proper divisors (6004112467680).

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

2206083820320 is a wasteful number, since it uses less digits than its factorization.

2206083820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2206083820320 in words is "two trillion, two hundred six billion, eighty-three million, eight hundred twenty thousand, three hundred twenty".