2021966064 has 140 divisors (see below), whose sum is σ = 6129841296. Its totient is φ = 644599296.

The previous prime is 2021966057. The next prime is 2021966083. The reversal of 2021966064 is 4606691202.

2021966064 is a `hidden beast` number, since 20 + 21 + 9 + 6 + 606 + 4 = 666.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 264504 + ... + 272040.

Almost surely, 2^2021966064 is an apocalyptic number.

2021966064 is a gapful number since it is divisible by the number (24) 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 2021966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064920648).

2021966064 is an abundant number, since it is smaller than the sum of its proper divisors (4107875232).

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

2021966064 is an equidigital number, since it uses as much as digits as its factorization.

2021966064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2021966064 is about 44966.2769639649. The cubic root of 2021966064 is about 1264.5168498660.

The spelling of 2021966064 in words is "two billion, twenty-one million, nine hundred sixty-six thousand, sixty-four".