2005603332660 has 144 divisors (see below), whose sum is σ = 6463706558400. Its totient is φ = 501943329792.

The previous prime is 2005603332653. The next prime is 2005603332671. The reversal of 2005603332660 is 662333065002.

2005603332660 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 60 + 333 + 266 + 0 = 666.

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

It is a congruent number.

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, 2374405 + ... + 3106284.

It is an arithmetic number, because the mean of its divisors is an integer number (44886851100).

Almost surely, 2^{2005603332660} is an apocalyptic number.

2005603332660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005603332660 is an abundant number, since it is smaller than the sum of its proper divisors (4458103225740).

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

2005603332660 is a wasteful number, since it uses less digits than its factorization.

2005603332660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480830 (or 5480825 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 2005603332660 its reverse (662333065002), we get a palindrome (2667936397662).

The spelling of 2005603332660 in words is "two trillion, five billion, six hundred three million, three hundred thirty-two thousand, six hundred sixty".