2241379565568 has 1152 divisors, whose sum is σ = 8061085992960. Its totient is φ = 606433443840.

The previous prime is 2241379565543. The next prime is 2241379565627. The reversal of 2241379565568 is 8655659731422.

2241379565568 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 7 + 9 + 5 + 65 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2241379565568² (a number of 26 digits) contains 22 as substring.

Its product of digits (108864000) is a multiple of the sum of its prime divisors (175).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21760966605 + ... + 21760966707.

It is an arithmetic number, because the mean of its divisors is an integer number (6997470480).

Almost surely, 2^{2241379565568} 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 2241379565568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030542996480).

2241379565568 is an abundant number, since it is smaller than the sum of its proper divisors (5819706427392).

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

2241379565568 is a wasteful number, since it uses less digits than its factorization.

2241379565568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 2241379565568 in words is "two trillion, two hundred forty-one billion, three hundred seventy-nine million, five hundred sixty-five thousand, five hundred sixty-eight".