2000404040 has 32 divisors (see below), whose sum is σ = 4502322360. Its totient is φ = 799910400.

The previous prime is 2000404019. The next prime is 2000404061. The reversal of 2000404040 is 404040002.

It is an interprime number because it is at equal distance from previous prime (2000404019) and next prime (2000404061).

It can be written as a sum of positive squares in 4 ways, for example, as 1939345444 + 61058596 = 44038^2 + 7814^2 .

2000404040 is a modest number, since divided by 404040 gives 2000 as remainder.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 172010 + ... + 183270.

Almost surely, 2^2000404040 is an apocalyptic number.

2000404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000404040 is an abundant number, since it is smaller than the sum of its proper divisors (2501918320).

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

2000404040 is a wasteful number, since it uses less digits than its factorization.

2000404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15713 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2000404040 is about 44725.8766264005. The cubic root of 2000404040 is about 1260.0058872657.

Adding to 2000404040 its reverse (404040002), we get a palindrome (2404444042).

The spelling of 2000404040 in words is "two billion, four hundred four thousand, forty".