2071020970368 has 320 divisors, whose sum is σ = 7350057918720. Its totient is φ = 565992852480.

The previous prime is 2071020970363. The next prime is 2071020970393. The reversal of 2071020970368 is 8630790201702.

2071020970368 is a `hidden beast` number, since 2 + 0 + 7 + 10 + 209 + 70 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071020970363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1048903 + ... + 2289593.

It is an arithmetic number, because the mean of its divisors is an integer number (22968930996).

Almost surely, 2^{2071020970368} is an apocalyptic number.

2071020970368 is a gapful number since it is divisible by the number (28) 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 2071020970368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675028959360).

2071020970368 is an abundant number, since it is smaller than the sum of its proper divisors (5279036948352).

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

2071020970368 is a wasteful number, since it uses less digits than its factorization.

2071020970368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240747 (or 1240726 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2071020970368 in words is "two trillion, seventy-one billion, twenty million, nine hundred seventy thousand, three hundred sixty-eight".