2010444223320 has 512 divisors, whose sum is σ = 7457819443200. Its totient is φ = 478529316864.

The previous prime is 2010444223313. The next prime is 2010444223331. The reversal of 2010444223320 is 233224440102.

2010444223320 is a `hidden beast` number, since 201 + 0 + 4 + 4 + 422 + 3 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 84663369 + ... + 84687111.

It is an arithmetic number, because the mean of its divisors is an integer number (14566053600).

Almost surely, 2^{2010444223320} is an apocalyptic number.

2010444223320 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 2010444223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728909721600).

2010444223320 is an abundant number, since it is smaller than the sum of its proper divisors (5447375219880).

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

2010444223320 is a wasteful number, since it uses less digits than its factorization.

2010444223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23976 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2010444223320 its reverse (233224440102), we get a palindrome (2243668663422).

The spelling of 2010444223320 in words is "two trillion, ten billion, four hundred forty-four million, two hundred twenty-three thousand, three hundred twenty".