2241344334040 has 128 divisors (see below), whose sum is σ = 5891516467200. Its totient is φ = 751416491520.

The previous prime is 2241344334037. The next prime is 2241344334091. The reversal of 2241344334040 is 404334431422.

It is a super-2 number, since 2×2241344334040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2241344333987 and 2241344334005.

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 31 ways as a sum of consecutive naturals, for example, 14279506 + ... + 14435614.

It is an arithmetic number, because the mean of its divisors is an integer number (46027472400).

Almost surely, 2^{2241344334040} is an apocalyptic number.

2241344334040 is a gapful number since it is divisible by the number (20) 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 2241344334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945758233600).

2241344334040 is an abundant number, since it is smaller than the sum of its proper divisors (3650172133160).

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

2241344334040 is a wasteful number, since it uses less digits than its factorization.

2241344334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157265 (or 157261 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2241344334040 its reverse (404334431422), we get a palindrome (2645678765462).

The spelling of 2241344334040 in words is "two trillion, two hundred forty-one billion, three hundred forty-four million, three hundred thirty-four thousand, forty".