2002005140 has 48 divisors (see below), whose sum is σ = 4383590400. Its totient is φ = 767071872.

The previous prime is 2002005127. The next prime is 2002005143. The reversal of 2002005140 is 415002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002005143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60071 + ... + 87249.

It is an arithmetic number, because the mean of its divisors is an integer number (91324800).

Almost surely, 2^2002005140 is an apocalyptic number.

2002005140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191795200).

2002005140 is an abundant number, since it is smaller than the sum of its proper divisors (2381585260).

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

2002005140 is a wasteful number, since it uses less digits than its factorization.

2002005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27344 (or 27342 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2002005140 is about 44743.7720805924. The cubic root of 2002005140 is about 1260.3419622772.

Adding to 2002005140 its reverse (415002002), we get a palindrome (2417007142).

The spelling of 2002005140 in words is "two billion, two million, five thousand, one hundred forty".