2212512041344 has 256 divisors, whose sum is σ = 5196163968000. Its totient is φ = 927745228800.

The previous prime is 2212512041339. The next prime is 2212512041437. The reversal of 2212512041344 is 4431402152122.

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, 154271614 + ... + 154285954.

It is an arithmetic number, because the mean of its divisors is an integer number (20297515500).

Almost surely, 2^{2212512041344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212512041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598081984000).

2212512041344 is an abundant number, since it is smaller than the sum of its proper divisors (2983651926656).

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

2212512041344 is a wasteful number, since it uses less digits than its factorization.

2212512041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14537 (or 14525 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 2212512041344 its reverse (4431402152122), we get a palindrome (6643914193466).

The spelling of 2212512041344 in words is "two trillion, two hundred twelve billion, five hundred twelve million, forty-one thousand, three hundred forty-four".