2663120245968 has 2240 divisors, whose sum is σ = 10659711068160. Its totient is φ = 624736530432.

The previous prime is 2663120245937. The next prime is 2663120245993. The reversal of 2663120245968 is 8695420213662.

2663120245968 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 1 + 20 + 24 + 596 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 32085786055 + ... + 32085786137.

It is an arithmetic number, because the mean of its divisors is an integer number (4758799584).

Almost surely, 2^{2663120245968} is an apocalyptic number.

2663120245968 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 2663120245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329855534080).

2663120245968 is an abundant number, since it is smaller than the sum of its proper divisors (7996590822192).

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

2663120245968 is a wasteful number, since it uses less digits than its factorization.

2663120245968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2663120245968 in words is "two trillion, six hundred sixty-three billion, one hundred twenty million, two hundred forty-five thousand, nine hundred sixty-eight".