2005743422592 has 768 divisors, whose sum is σ = 7254038937600. Its totient is φ = 517906980864.

The previous prime is 2005743422581. The next prime is 2005743422651. The reversal of 2005743422592 is 2952243475002.

2005743422592 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 7 + 4 + 34 + 22 + 592 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1051778503 + ... + 1051780409.

It is an arithmetic number, because the mean of its divisors is an integer number (9445363200).

Almost surely, 2^{2005743422592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005743422592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627019468800).

2005743422592 is an abundant number, since it is smaller than the sum of its proper divisors (5248295515008).

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

2005743422592 is a wasteful number, since it uses less digits than its factorization.

2005743422592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 2005743422592 its reverse (2952243475002), we get a palindrome (4957986897594).

The spelling of 2005743422592 in words is "two trillion, five billion, seven hundred forty-three million, four hundred twenty-two thousand, five hundred ninety-two".