2243221213440 has 144 divisors (see below), whose sum is σ = 7194018053376. Its totient is φ = 595709952000.

The previous prime is 2243221213333. The next prime is 2243221213469. The reversal of 2243221213440 is 443121223422.

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 = 2243221213398 and 2243221213407.

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, 286536 + ... + 2137415.

It is an arithmetic number, because the mean of its divisors is an integer number (49958458704).

Almost surely, 2^{2243221213440} is an apocalyptic number.

2243221213440 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 2243221213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597009026688).

2243221213440 is an abundant number, since it is smaller than the sum of its proper divisors (4950796839936).

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

2243221213440 is a wasteful number, since it uses less digits than its factorization.

2243221213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424216 (or 2424202 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2243221213440 its reverse (443121223422), we get a palindrome (2686342436862).

The spelling of 2243221213440 in words is "two trillion, two hundred forty-three billion, two hundred twenty-one million, two hundred thirteen thousand, four hundred forty".