2412805668 has 288 divisors, whose sum is σ = 7641648000. Its totient is φ = 585252864.

The previous prime is 2412805663. The next prime is 2412805669. The reversal of 2412805668 is 8665082142.

2412805668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2412805663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5373508 + ... + 5373956.

It is an arithmetic number, because the mean of its divisors is an integer number (26533500).

Almost surely, 2^2412805668 is an apocalyptic number.

2412805668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412805668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820824000).

2412805668 is an abundant number, since it is smaller than the sum of its proper divisors (5228842332).

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

2412805668 is a wasteful number, since it uses less digits than its factorization.

2412805668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2412805668 is about 49120.3182807278. The cubic root of 2412805668 is about 1341.2429374782.

The spelling of 2412805668 in words is "two billion, four hundred twelve million, eight hundred five thousand, six hundred sixty-eight".