2046286831680 has 672 divisors, whose sum is σ = 8684662791168. Its totient is φ = 430645248000.

The previous prime is 2046286831639. The next prime is 2046286831691. The reversal of 2046286831680 is 861386826402.

2046286831680 is a `hidden beast` number, since 2 + 0 + 4 + 628 + 6 + 8 + 3 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105084345 + ... + 105103815.

It is an arithmetic number, because the mean of its divisors is an integer number (12923605344).

Almost surely, 2^{2046286831680} is an apocalyptic number.

2046286831680 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 2046286831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342331395584).

2046286831680 is an abundant number, since it is smaller than the sum of its proper divisors (6638375959488).

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

2046286831680 is a wasteful number, since it uses less digits than its factorization.

2046286831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19915 (or 19902 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2046286831680 in words is "two trillion, forty-six billion, two hundred eighty-six million, eight hundred thirty-one thousand, six hundred eighty".