2071686210880 has 224 divisors, whose sum is σ = 5818235028480. Its totient is φ = 692681441280.

The previous prime is 2071686210829. The next prime is 2071686210901. The reversal of 2071686210880 is 880126861702.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11672241 + ... + 11848399.

It is an arithmetic number, because the mean of its divisors is an integer number (25974263520).

Almost surely, 2^{2071686210880} is an apocalyptic number.

2071686210880 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 2071686210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909117514240).

2071686210880 is an abundant number, since it is smaller than the sum of its proper divisors (3746548817600).

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

2071686210880 is a wasteful number, since it uses less digits than its factorization.

2071686210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176457 (or 176447 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 2071686210880 in words is "two trillion, seventy-one billion, six hundred eighty-six million, two hundred ten thousand, eight hundred eighty".