2213301440000 has 400 divisors, whose sum is σ = 6450200875008. Its totient is φ = 742665216000.

The previous prime is 2213301439939. The next prime is 2213301440023. The reversal of 2213301440000 is 441033122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105269489 + ... + 105290511.

Almost surely, 2^{2213301440000} is an apocalyptic number.

2213301440000 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 2213301440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225100437504).

2213301440000 is an abundant number, since it is smaller than the sum of its proper divisors (4236899435008).

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

2213301440000 is an frugal number, since it uses more digits than its factorization.

2213301440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21115 (or 21084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2213301440000 its reverse (441033122), we get a palindrome (2213742473122).

The spelling of 2213301440000 in words is "two trillion, two hundred thirteen billion, three hundred one million, four hundred forty thousand".