2006404040 has 32 divisors (see below), whose sum is σ = 4599591480. Its totient is φ = 787418112.

The previous prime is 2006404031. The next prime is 2006404067. The reversal of 2006404040 is 404046002.

It can be written as a sum of positive squares in 4 ways, for example, as 1158313156 + 848090884 = 34034^2 + 29122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471089 + ... + 475328.

Almost surely, 2^2006404040 is an apocalyptic number.

2006404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006404040 is an abundant number, since it is smaller than the sum of its proper divisors (2593187440).

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

2006404040 is a wasteful number, since it uses less digits than its factorization.

2006404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946481 (or 946477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2006404040 is about 44792.9016697959. The cubic root of 2006404040 is about 1261.2643812556.

The spelling of 2006404040 in words is "two billion, six million, four hundred four thousand, forty".