2206679509152 has 144 divisors (see below), whose sum is σ = 6299993700000. Its totient is φ = 732664407552.

The previous prime is 2206679509147. The next prime is 2206679509159. The reversal of 2206679509152 is 2519059766022.

2206679509152 is a `hidden beast` number, since 2 + 2 + 0 + 66 + 79 + 509 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2206679509152² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2206679509159) 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 23 ways as a sum of consecutive naturals, for example, 79508974 + ... + 79536722.

It is an arithmetic number, because the mean of its divisors is an integer number (43749956250).

Almost surely, 2^{2206679509152} 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 2206679509152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149996850000).

2206679509152 is an abundant number, since it is smaller than the sum of its proper divisors (4093314190848).

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

2206679509152 is a wasteful number, since it uses less digits than its factorization.

2206679509152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28843 (or 28832 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 2206679509152 in words is "two trillion, two hundred six billion, six hundred seventy-nine million, five hundred nine thousand, one hundred fifty-two".