2021627016 has 192 divisors, whose sum is σ = 5855915520. Its totient is φ = 629130240.

The previous prime is 2021626969. The next prime is 2021627039. The reversal of 2021627016 is 6107261202.

2021627016 is a `hidden beast` number, since 2 + 0 + 21 + 627 + 0 + 16 = 666.

2021627016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 9065481 + ... + 9065703.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 2^2021627016 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 2021627016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

2021627016 is an abundant number, since it is smaller than the sum of its proper divisors (3834288504).

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

2021627016 is a wasteful number, since it uses less digits than its factorization.

2021627016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2021627016 is about 44962.5067806500. The cubic root of 2021627016 is about 1264.4461668672.

Adding to 2021627016 its reverse (6107261202), we get a palindrome (8128888218).

The spelling of 2021627016 in words is "two billion, twenty-one million, six hundred twenty-seven thousand, sixteen".