2006604444460 has 96 divisors (see below), whose sum is σ = 5280877066752. Its totient is φ = 622194462720.

The previous prime is 2006604444457. The next prime is 2006604444463. The reversal of 2006604444460 is 644444066002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2006604444457) and next prime (2006604444463).

It is a super-2 number, since 2×2006604444460² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006604444463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078402 + ... + 3672841.

It is an arithmetic number, because the mean of its divisors is an integer number (55009136112).

Almost surely, 2^{2006604444460} is an apocalyptic number.

2006604444460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006604444460 is an abundant number, since it is smaller than the sum of its proper divisors (3274272622292).

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

2006604444460 is a wasteful number, since it uses less digits than its factorization.

2006604444460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751463 (or 6751461 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 2006604444460 in words is "two trillion, six billion, six hundred four million, four hundred forty-four thousand, four hundred sixty".