2214304414140 has 384 divisors, whose sum is σ = 7774515302400. Its totient is φ = 458462011392.

The previous prime is 2214304414079. The next prime is 2214304414159. The reversal of 2214304414140 is 414144034122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2214304414098 and 2214304414107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79303462 + ... + 79331378.

It is an arithmetic number, because the mean of its divisors is an integer number (20246133600).

Almost surely, 2^{2214304414140} is an apocalyptic number.

2214304414140 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 2214304414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887257651200).

2214304414140 is an abundant number, since it is smaller than the sum of its proper divisors (5560210888260).

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

2214304414140 is a wasteful number, since it uses less digits than its factorization.

2214304414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28221 (or 28219 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2214304414140 its reverse (414144034122), we get a palindrome (2628448448262).

The spelling of 2214304414140 in words is "two trillion, two hundred fourteen billion, three hundred four million, four hundred fourteen thousand, one hundred forty".