2021226016320 has 336 divisors, whose sum is σ = 8139135408768. Its totient is φ = 450726174720.

The previous prime is 2021226016301. The next prime is 2021226016367. The reversal of 2021226016320 is 236106221202.

It is a happy number.

2021226016320 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 26 + 0 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396114 + ... + 2049233.

It is an arithmetic number, because the mean of its divisors is an integer number (24223617288).

Almost surely, 2^{2021226016320} is an apocalyptic number.

2021226016320 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 2021226016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069567704384).

2021226016320 is an abundant number, since it is smaller than the sum of its proper divisors (6117909392448).

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

2021226016320 is a wasteful number, since it uses less digits than its factorization.

2021226016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445418 (or 2445405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2021226016320 in words is "two trillion, twenty-one billion, two hundred twenty-six million, sixteen thousand, three hundred twenty".