2042208128 has 32 divisors (see below), whose sum is σ = 4077968160. Its totient is φ = 1018718208.

The previous prime is 2042208127. The next prime is 2042208131. The reversal of 2042208128 is 8218022402.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2042208128² = 8341228076138528768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042208128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042208121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37001 + ... + 73847.

It is an arithmetic number, because the mean of its divisors is an integer number (127436505).

Almost surely, 2^2042208128 is an apocalyptic number.

It is an amenable number.

2042208128 is a deficient number, since it is larger than the sum of its proper divisors (2035760032).

2042208128 is an equidigital number, since it uses as much as digits as its factorization.

2042208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37294 (or 37282 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 2042208128 is about 45190.7969391999. The cubic root of 2042208128 is about 1268.7225727673.

The spelling of 2042208128 in words is "two billion, forty-two million, two hundred eight thousand, one hundred twenty-eight".