2412666706000 has 80 divisors (see below), whose sum is σ = 5872982029200. Its totient is φ = 958589606400.

The previous prime is 2412666705989. The next prime is 2412666706001. The reversal of 2412666706000 is 6076662142.

It can be written as a sum of positive squares in 8 ways, for example, as 1695183168064 + 717483537936 = 1301992^2 + 847044^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412666706001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3750099 + ... + 4346098.

It is an arithmetic number, because the mean of its divisors is an integer number (73412275365).

Almost surely, 2^{2412666706000} is an apocalyptic number.

2412666706000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412666706000 is an abundant number, since it is smaller than the sum of its proper divisors (3460315323200).

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

2412666706000 is a wasteful number, since it uses less digits than its factorization.

2412666706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096369 (or 8096353 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 2412666706000 in words is "two trillion, four hundred twelve billion, six hundred sixty-six million, seven hundred six thousand".