2042108921 has 32 divisors (see below), whose sum is σ = 2234628000. Its totient is φ = 1861816320.

The previous prime is 2042108903. The next prime is 2042108933. The reversal of 2042108921 is 1298012402.

It can be written as a sum of positive squares in 16 ways, for example, as 31483321 + 2010625600 = 5611^2 + 44840^2 .

It is not a de Polignac number, because 2042108921 - 2¹⁴ = 2042092537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2042108951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8473361 + ... + 8473601.

It is an arithmetic number, because the mean of its divisors is an integer number (69832125).

Almost surely, 2^2042108921 is an apocalyptic number.

It is an amenable number.

2042108921 is a deficient number, since it is larger than the sum of its proper divisors (192519079).

2042108921 is a wasteful number, since it uses less digits than its factorization.

2042108921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2042108921 is about 45189.6992798138. The cubic root of 2042108921 is about 1268.7020283058.

The spelling of 2042108921 in words is "two billion, forty-two million, one hundred eight thousand, nine hundred twenty-one".