2002004040 has 64 divisors (see below), whose sum is σ = 6090629760. Its totient is φ = 526346240.

The previous prime is 2002004023. The next prime is 2002004041. The reversal of 2002004040 is 404002002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2002004041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108969 + ... + 126008.

It is an arithmetic number, because the mean of its divisors is an integer number (95166090).

Almost surely, 2^2002004040 is an apocalyptic number.

2002004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002004040 is an abundant number, since it is smaller than the sum of its proper divisors (4088625720).

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

2002004040 is a wasteful number, since it uses less digits than its factorization.

2002004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235062 (or 235058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2002004040 is about 44743.7597883772. The cubic root of 2002004040 is about 1260.3417314458.

Adding to 2002004040 its reverse (404002002), we get a palindrome (2406006042).

The spelling of 2002004040 in words is "two billion, two million, four thousand, forty", and thus it is an eban number.