2427218275968 has 384 divisors, whose sum is σ = 7295313392640. Its totient is φ = 803285683200.

The previous prime is 2427218275943. The next prime is 2427218275969. The reversal of 2427218275968 is 8695728127242.

2427218275968 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 2 + 18 + 27 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2427218275969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4437327471 + ... + 4437328017.

It is an arithmetic number, because the mean of its divisors is an integer number (18998211960).

Almost surely, 2^{2427218275968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427218275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647656696320).

2427218275968 is an abundant number, since it is smaller than the sum of its proper divisors (4868095116672).

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

2427218275968 is an equidigital number, since it uses as much as digits as its factorization.

2427218275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1314 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 2427218275968 in words is "two trillion, four hundred twenty-seven billion, two hundred eighteen million, two hundred seventy-five thousand, nine hundred sixty-eight".