2071288299360 has 768 divisors, whose sum is σ = 7695030067200. Its totient is φ = 458615291904.

The previous prime is 2071288299343. The next prime is 2071288299371. The reversal of 2071288299360 is 639928821702.

It is a happy number.

It is a super-3 number, since 3×2071288299360³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2071288299360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5217350682 + ... + 5217351078.

It is an arithmetic number, because the mean of its divisors is an integer number (10019570400).

Almost surely, 2^{2071288299360} is an apocalyptic number.

2071288299360 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 2071288299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847515033600).

2071288299360 is an abundant number, since it is smaller than the sum of its proper divisors (5623741767840).

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

2071288299360 is a wasteful number, since it uses less digits than its factorization.

2071288299360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 2071288299360 in words is "two trillion, seventy-one billion, two hundred eighty-eight million, two hundred ninety-nine thousand, three hundred sixty".