2241340142418 has 96 divisors (see below), whose sum is σ = 5249879998272. Its totient is φ = 686998224000.

The previous prime is 2241340142417. The next prime is 2241340142441. The reversal of 2241340142418 is 8142410431422.

2241340142418 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 401 + 4 + 241 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2241340142417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88574368 + ... + 88599668.

It is an arithmetic number, because the mean of its divisors is an integer number (54686249982).

Almost surely, 2^{2241340142418} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241340142418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624939999136).

2241340142418 is an abundant number, since it is smaller than the sum of its proper divisors (3008539855854).

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

2241340142418 is a wasteful number, since it uses less digits than its factorization.

2241340142418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26760 (or 26757 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2241340142418 in words is "two trillion, two hundred forty-one billion, three hundred forty million, one hundred forty-two thousand, four hundred eighteen".