2080706434560 has 1120 divisors, whose sum is σ = 8126276447520. Its totient is φ = 507665055744.

The previous prime is 2080706434559. The next prime is 2080706434619. The reversal of 2080706434560 is 654346070802.

2080706434560 is a `hidden beast` number, since 2 + 0 + 80 + 7 + 0 + 6 + 4 + 3 + 4 + 560 = 666.

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

It is a congruent number.

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, 3372295372 + ... + 3372295988.

It is an arithmetic number, because the mean of its divisors is an integer number (7255603971).

Almost surely, 2^{2080706434560} is an apocalyptic number.

2080706434560 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 2080706434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063138223760).

2080706434560 is an abundant number, since it is smaller than the sum of its proper divisors (6045570012960).

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

2080706434560 is an equidigital number, since it uses as much as digits as its factorization.

2080706434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2080706434560 in words is "two trillion, eighty billion, seven hundred six million, four hundred thirty-four thousand, five hundred sixty".