2240304224312 has 128 divisors (see below), whose sum is σ = 5513520960000. Its totient is φ = 826784962560.

The previous prime is 2240304224311. The next prime is 2240304224341. The reversal of 2240304224312 is 2134224030422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240304224311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134552564 + ... + 134569212.

It is an arithmetic number, because the mean of its divisors is an integer number (43074382500).

Almost surely, 2^{2240304224312} is an apocalyptic number.

2240304224312 is a gapful number since it is divisible by the number (22) 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 2240304224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756760480000).

2240304224312 is an abundant number, since it is smaller than the sum of its proper divisors (3273216735688).

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

2240304224312 is a wasteful number, since it uses less digits than its factorization.

2240304224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28189 (or 28185 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2240304224312 its reverse (2134224030422), we get a palindrome (4374528254734).

The spelling of 2240304224312 in words is "two trillion, two hundred forty billion, three hundred four million, two hundred twenty-four thousand, three hundred twelve".