2021711311872 has 1320 divisors, whose sum is σ = 7700043918600. Its totient is φ = 524386566144.

The previous prime is 2021711311847. The next prime is 2021711311897. The reversal of 2021711311872 is 2781131171202.

It is a happy number.

2021711311872 is a `hidden beast` number, since 202 + 1 + 71 + 1 + 311 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2021711311847) and next prime (2021711311897).

It can be written as a sum of positive squares in 4 ways, for example, as 388059227136 + 1633652084736 = 622944^2 + 1278144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 2003677704 + ... + 2003678712.

It is an arithmetic number, because the mean of its divisors is an integer number (5833366605).

Almost surely, 2^{2021711311872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021711311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850021959300).

2021711311872 is an abundant number, since it is smaller than the sum of its proper divisors (5678332606728).

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

2021711311872 is a wasteful number, since it uses less digits than its factorization.

2021711311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 2021711311872 in words is "two trillion, twenty-one billion, seven hundred eleven million, three hundred eleven thousand, eight hundred seventy-two".