2005873488 has 30 divisors (see below), whose sum is σ = 5613660234. Its totient is φ = 668624448.

The previous prime is 2005873477. The next prime is 2005873501. The reversal of 2005873488 is 8843785002.

2005873488 is a `hidden beast` number, since 20 + 0 + 587 + 3 + 48 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1144333584 + 861539904 = 33828^2 + 29352^2 .

It is a super-2 number, since 2×2005873488² = 8047056899722572288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6964695 + ... + 6964982.

Almost surely, 2^2005873488 is an apocalyptic number.

It is an amenable number.

2005873488 is an abundant number, since it is smaller than the sum of its proper divisors (3607786746).

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

2005873488 is a wasteful number, since it uses less digits than its factorization.

2005873488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929691 (or 13929682 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2005873488 is about 44786.9790005979. The cubic root of 2005873488 is about 1261.1531997059.

The spelling of 2005873488 in words is "two billion, five million, eight hundred seventy-three thousand, four hundred eighty-eight".