2210330312320 has 128 divisors (see below), whose sum is σ = 5693388704640. Its totient is φ = 815713112064.

The previous prime is 2210330312269. The next prime is 2210330312339. The reversal of 2210330312320 is 232130330122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2210330312291 and 2210330312300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16799109 + ... + 16930171.

It is an arithmetic number, because the mean of its divisors is an integer number (44479599255).

Almost surely, 2^{2210330312320} is an apocalyptic number.

2210330312320 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 2210330312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846694352320).

2210330312320 is an abundant number, since it is smaller than the sum of its proper divisors (3483058392320).

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

2210330312320 is a wasteful number, since it uses less digits than its factorization.

2210330312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133122 (or 133110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2210330312320 its reverse (232130330122), we get a palindrome (2442460642442).

The spelling of 2210330312320 in words is "two trillion, two hundred ten billion, three hundred thirty million, three hundred twelve thousand, three hundred twenty".