2084162971212 has 480 divisors, whose sum is σ = 6745001155200. Its totient is φ = 558997770240.

The previous prime is 2084162971193. The next prime is 2084162971217. The reversal of 2084162971212 is 2121792614802.

2084162971212 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 1 + 629 + 7 + 1 + 2 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (2084162971217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 870940288 + ... + 870942680.

It is an arithmetic number, because the mean of its divisors is an integer number (14052085740).

Almost surely, 2^{2084162971212} 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 2084162971212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372500577600).

2084162971212 is an abundant number, since it is smaller than the sum of its proper divisors (4660838183988).

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

2084162971212 is a wasteful number, since it uses less digits than its factorization.

2084162971212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2084162971212 in words is "two trillion, eighty-four billion, one hundred sixty-two million, nine hundred seventy-one thousand, two hundred twelve".