2124442312314 has 128 divisors (see below), whose sum is σ = 5378975465472. Its totient is φ = 545486223360.

The previous prime is 2124442312313. The next prime is 2124442312319. The reversal of 2124442312314 is 4132132444212.

It is not an unprimeable number, because it can be changed into a prime (2124442312313) 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, 603847 + ... + 2147909.

It is an arithmetic number, because the mean of its divisors is an integer number (42023245824).

Almost surely, 2^{2124442312314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124442312314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689487732736).

2124442312314 is an abundant number, since it is smaller than the sum of its proper divisors (3254533153158).

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

2124442312314 is a wasteful number, since it uses less digits than its factorization.

2124442312314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544180.

The product of its digits is 36864, while the sum is 33.

Adding to 2124442312314 its reverse (4132132444212), we get a palindrome (6256574756526).

The spelling of 2124442312314 in words is "two trillion, one hundred twenty-four billion, four hundred forty-two million, three hundred twelve thousand, three hundred fourteen".