2400006666006 has 64 divisors (see below), whose sum is σ = 5415506976000. Its totient is φ = 797584815720.

The previous prime is 2400006665957. The next prime is 2400006666041. The reversal of 2400006666006 is 6006666000042.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 618945 + ... + 2276643.

It is an arithmetic number, because the mean of its divisors is an integer number (84617296500).

Almost surely, 2^{2400006666006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400006666006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707753488000).

2400006666006 is an abundant number, since it is smaller than the sum of its proper divisors (3015500309994).

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

2400006666006 is an equidigital number, since it uses as much as digits as its factorization.

2400006666006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658053 (or 1658035 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2400006666006 in words is "two trillion, four hundred billion, six million, six hundred sixty-six thousand, six".