2122441243340 has 192 divisors, whose sum is σ = 5194431728640. Its totient is φ = 720313896960.

The previous prime is 2122441243337. The next prime is 2122441243343. The reversal of 2122441243340 is 433421442212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2122441243337) and next prime (2122441243343).

It is a junction number, because it is equal to n+sod(n) for n = 2122441243297 and 2122441243306.

It is not an unprimeable number, because it can be changed into a prime (2122441243343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295066784 + ... + 295073976.

It is an arithmetic number, because the mean of its divisors is an integer number (27054331920).

Almost surely, 2^{2122441243340} is an apocalyptic number.

2122441243340 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 2122441243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597215864320).

2122441243340 is an abundant number, since it is smaller than the sum of its proper divisors (3071990485300).

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

2122441243340 is a wasteful number, since it uses less digits than its factorization.

2122441243340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2122441243340 its reverse (433421442212), we get a palindrome (2555862685552).

The spelling of 2122441243340 in words is "two trillion, one hundred twenty-two billion, four hundred forty-one million, two hundred forty-three thousand, three hundred forty".