2243112125440 has 176 divisors, whose sum is σ = 5515608322224. Its totient is φ = 874800742400.

The previous prime is 2243112125407. The next prime is 2243112125477. The reversal of 2243112125440 is 445212113422.

It can be written as a sum of positive squares in 8 ways, for example, as 42945101824 + 2200167023616 = 207232^2 + 1483296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507374430 + ... + 507378850.

It is an arithmetic number, because the mean of its divisors is an integer number (31338683649).

Almost surely, 2^{2243112125440} is an apocalyptic number.

2243112125440 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 2243112125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757804161112).

2243112125440 is an abundant number, since it is smaller than the sum of its proper divisors (3272496196784).

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

2243112125440 is a wasteful number, since it uses less digits than its factorization.

2243112125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6886 counting only the distinct ones).

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

Adding to 2243112125440 its reverse (445212113422), we get a palindrome (2688324238862).

The spelling of 2243112125440 in words is "two trillion, two hundred forty-three billion, one hundred twelve million, one hundred twenty-five thousand, four hundred forty".