2071006615680 has 256 divisors, whose sum is σ = 6769117555200. Its totient is φ = 538258636800.

The previous prime is 2071006615679. The next prime is 2071006615687. The reversal of 2071006615680 is 865166001702.

It is not an unprimeable number, because it can be changed into a prime (2071006615687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81777420 + ... + 81802740.

It is an arithmetic number, because the mean of its divisors is an integer number (26441865450).

Almost surely, 2^{2071006615680} is an apocalyptic number.

2071006615680 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 2071006615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384558777600).

2071006615680 is an abundant number, since it is smaller than the sum of its proper divisors (4698110939520).

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

2071006615680 is a wasteful number, since it uses less digits than its factorization.

2071006615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26423 (or 26411 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 2071006615680 in words is "two trillion, seventy-one billion, six million, six hundred fifteen thousand, six hundred eighty".