2241351636342 has 96 divisors (see below), whose sum is σ = 5553785472768. Its totient is φ = 590454603648.

The previous prime is 2241351636331. The next prime is 2241351636367. The reversal of 2241351636342 is 2436361531422.

It is a super-2 number, since 2×2241351636342² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2241351636294 and 2241351636303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6088728 + ... + 6446340.

It is an arithmetic number, because the mean of its divisors is an integer number (57851932008).

Almost surely, 2^{2241351636342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241351636342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776892736384).

2241351636342 is an abundant number, since it is smaller than the sum of its proper divisors (3312433836426).

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

2241351636342 is a wasteful number, since it uses less digits than its factorization.

2241351636342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358534 (or 358521 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 2241351636342 in words is "two trillion, two hundred forty-one billion, three hundred fifty-one million, six hundred thirty-six thousand, three hundred forty-two".