2021882016 has 192 divisors, whose sum is σ = 6772018176. Its totient is φ = 512870400.

The previous prime is 2021881957. The next prime is 2021882021. The reversal of 2021882016 is 6102881202.

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, 314676 + ... + 321036.

It is an arithmetic number, because the mean of its divisors is an integer number (35270928).

Almost surely, 2^2021882016 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 2021882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386009088).

2021882016 is an abundant number, since it is smaller than the sum of its proper divisors (4750136160).

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

2021882016 is a wasteful number, since it uses less digits than its factorization.

2021882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2021882016 is about 44965.3423872208. The cubic root of 2021882016 is about 1264.4993287040.

The spelling of 2021882016 in words is "two billion, twenty-one million, eight hundred eighty-two thousand, sixteen".