2071264366080 has 640 divisors, whose sum is σ = 9055170432000. Its totient is φ = 437012692992.

The previous prime is 2071264366079. The next prime is 2071264366163. The reversal of 2071264366080 is 806634621702.

2071264366080 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 2 + 6 + 4 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6125271 + ... + 6454569.

It is an arithmetic number, because the mean of its divisors is an integer number (14148703800).

Almost surely, 2^{2071264366080} is an apocalyptic number.

2071264366080 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 2071264366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527585216000).

2071264366080 is an abundant number, since it is smaller than the sum of its proper divisors (6983906065920).

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

2071264366080 is a wasteful number, since it uses less digits than its factorization.

2071264366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329351 (or 329329 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 2071264366080 its reverse (806634621702), we get a palindrome (2877898987782).

The spelling of 2071264366080 in words is "two trillion, seventy-one billion, two hundred sixty-four million, three hundred sixty-six thousand, eighty".