2234114224440 has 512 divisors, whose sum is σ = 7927493898240. Its totient is φ = 493092864000.

The previous prime is 2234114224429. The next prime is 2234114224471. The reversal of 2234114224440 is 444224114322.

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 127 ways as a sum of consecutive naturals, for example, 1835754712 + ... + 1835755928.

It is an arithmetic number, because the mean of its divisors is an integer number (15483386520).

Almost surely, 2^{2234114224440} is an apocalyptic number.

2234114224440 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 2234114224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963746949120).

2234114224440 is an abundant number, since it is smaller than the sum of its proper divisors (5693379673800).

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

2234114224440 is a wasteful number, since it uses less digits than its factorization.

2234114224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2234114224440 its reverse (444224114322), we get a palindrome (2678338338762).

The spelling of 2234114224440 in words is "two trillion, two hundred thirty-four billion, one hundred fourteen million, two hundred twenty-four thousand, four hundred forty".