2042021664 has 60 divisors (see below), whose sum is σ = 6005536614. Its totient is φ = 680673024.

The previous prime is 2042021651. The next prime is 2042021669. The reversal of 2042021664 is 4661202402.

2042021664 is a `hidden beast` number, since 20 + 420 + 216 + 6 + 4 = 666.

2042021664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2034731664 + 7290000 = 45108^2 + 2700^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2042021669) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 391317 + ... + 396500.

Almost surely, 2^2042021664 is an apocalyptic number.

2042021664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042021664 is an abundant number, since it is smaller than the sum of its proper divisors (3963514950).

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

2042021664 is an equidigital number, since it uses as much as digits as its factorization.

2042021664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787839 (or 787822 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2042021664 is about 45188.7338171806. The cubic root of 2042021664 is about 1268.6839579818.

The spelling of 2042021664 in words is "two billion, forty-two million, twenty-one thousand, six hundred sixty-four".