2241394541568 has 1056 divisors, whose sum is σ = 8342157637632. Its totient is φ = 563753779200.

The previous prime is 2241394541543. The next prime is 2241394541569. The reversal of 2241394541568 is 8651454931422.

2241394541568 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 94 + 541 + 5 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2241394541569) 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, 1897877938 + ... + 1897879118.

Almost surely, 2^{2241394541568} is an apocalyptic number.

2241394541568 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 2241394541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171078818816).

2241394541568 is an abundant number, since it is smaller than the sum of its proper divisors (6100763096064).

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

2241394541568 is a wasteful number, since it uses less digits than its factorization.

2241394541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1310 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 2241394541568 in words is "two trillion, two hundred forty-one billion, three hundred ninety-four million, five hundred forty-one thousand, five hundred sixty-eight".