2000585140 has 24 divisors (see below), whose sum is σ = 4213145160. Its totient is φ = 797964288.

The previous prime is 2000585077. The next prime is 2000585141. The reversal of 2000585140 is 415850002.

It can be written as a sum of positive squares in 4 ways, for example, as 461906064 + 1538679076 = 21492^2 + 39226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000585141) 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 7 ways as a sum of consecutive naturals, for example, 134625 + ... + 148744.

It is an arithmetic number, because the mean of its divisors is an integer number (175547715).

Almost surely, 2^2000585140 is an apocalyptic number.

2000585140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000585140 is an abundant number, since it is smaller than the sum of its proper divisors (2212560020).

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

2000585140 is a wasteful number, since it uses less digits than its factorization.

2000585140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283731 (or 283729 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 2000585140 is about 44727.9011356446. The cubic root of 2000585140 is about 1260.0439096145.

The spelling of 2000585140 in words is "two billion, five hundred eighty-five thousand, one hundred forty".