2005600321296 has 240 divisors, whose sum is σ = 6982064369280. Its totient is φ = 528006574080.

The previous prime is 2005600321261. The next prime is 2005600321337. The reversal of 2005600321296 is 6921230065002.

2005600321296 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 600 + 3 + 21 + 29 + 6 = 666.

It is a super-2 number, since 2×2005600321296² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2005600321296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2514556 + ... + 3214683.

It is an arithmetic number, because the mean of its divisors is an integer number (29091934872).

Almost surely, 2^{2005600321296} is an apocalyptic number.

2005600321296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2005600321296 is an abundant number, since it is smaller than the sum of its proper divisors (4976464047984).

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

2005600321296 is a wasteful number, since it uses less digits than its factorization.

2005600321296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729294 (or 5729285 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 2005600321296 its reverse (6921230065002), we get a palindrome (8926830386298).

The spelling of 2005600321296 in words is "two trillion, five billion, six hundred million, three hundred twenty-one thousand, two hundred ninety-six".