2065705944000 has 448 divisors, whose sum is σ = 6935467968000. Its totient is φ = 541638451200.

The previous prime is 2065705943993. The next prime is 2065705944007. The reversal of 2065705944000 is 4495075602.

It is an interprime number because it is at equal distance from previous prime (2065705943993) and next prime (2065705944007).

It is a super-2 number, since 2×2065705944000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065705944007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1378055251 + ... + 1378056749.

Almost surely, 2^{2065705944000} is an apocalyptic number.

2065705944000 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 2065705944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467733984000).

2065705944000 is an abundant number, since it is smaller than the sum of its proper divisors (4869762024000).

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

2065705944000 is a wasteful number, since it uses less digits than its factorization.

2065705944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2065705944000 in words is "two trillion, sixty-five billion, seven hundred five million, nine hundred forty-four thousand".