2005062296193 has 48 divisors (see below), whose sum is σ = 3230233344000. Its totient is φ = 1188037484640.

The previous prime is 2005062296189. The next prime is 2005062296219. The reversal of 2005062296193 is 3916922605002.

2005062296193 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 0 + 6 + 2 + 29 + 619 + 3 = 666.

It is not a de Polignac number, because 2005062296193 - 2² = 2005062296189 is a prime.

It is a super-2 number, since 2×2005062296193² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005062296123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041658 + ... + 4510556.

It is an arithmetic number, because the mean of its divisors is an integer number (67296528000).

Almost surely, 2^{2005062296193} is an apocalyptic number.

It is an amenable number.

2005062296193 is a deficient number, since it is larger than the sum of its proper divisors (1225171047807).

2005062296193 is a wasteful number, since it uses less digits than its factorization.

2005062296193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469882 (or 469879 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 2005062296193 in words is "two trillion, five billion, sixty-two million, two hundred ninety-six thousand, one hundred ninety-three".