2071992960000 has 770 divisors, whose sum is σ = 7761891947942. Its totient is φ = 552407040000.

The previous prime is 2071992959989. The next prime is 2071992960077. The reversal of 2071992960000 is 692991702.

2071992960000 is a `hidden beast` number, since 2 + 0 + 7 + 19 + 9 + 29 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 929727922176 + 1142265037824 = 964224^2 + 1068768^2 .

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 69 ways as a sum of consecutive naturals, for example, 466557780 + ... + 466562220.

Almost surely, 2^{2071992960000} is an apocalyptic number.

2071992960000 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 2071992960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880945973971).

2071992960000 is an abundant number, since it is smaller than the sum of its proper divisors (5689898987942).

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

2071992960000 is an frugal number, since it uses more digits than its factorization.

2071992960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 2071992960000 in words is "two trillion, seventy-one billion, nine hundred ninety-two million, nine hundred sixty thousand".