2211840000000 has 672 divisors, whose sum is σ = 8191975122240. Its totient is φ = 589824000000.

The previous prime is 2211839999969. The next prime is 2211840000037. The reversal of 2211840000000 is 481122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442367999998 + ... + 442368000002.

It is an arithmetic number, because the mean of its divisors is an integer number (12190439170).

Almost surely, 2^{2211840000000} is an apocalyptic number.

2211840000000 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 2211840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095987561120).

2211840000000 is an abundant number, since it is smaller than the sum of its proper divisors (5980135122240).

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

2211840000000 is an frugal number, since it uses more digits than its factorization.

2211840000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211840000000 its reverse (481122), we get a palindrome (2211840481122).

The spelling of 2211840000000 in words is "two trillion, two hundred eleven billion, eight hundred forty million", and thus it is an aban number.