2006054040 has 64 divisors (see below), whose sum is σ = 6055142400. Its totient is φ = 531660672.

The previous prime is 2006053981. The next prime is 2006054041. The reversal of 2006054040 is 404506002.

It is a happy number.

It is a super-2 number, since 2×2006054040² = 8048505622800643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2006053998 and 2006054016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006054041) 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 15 ways as a sum of consecutive naturals, for example, 31720 + ... + 70839.

It is an arithmetic number, because the mean of its divisors is an integer number (94611600).

Almost surely, 2^2006054040 is an apocalyptic number.

2006054040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006054040 is an abundant number, since it is smaller than the sum of its proper divisors (4049088360).

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

2006054040 is a wasteful number, since it uses less digits than its factorization.

2006054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102736 (or 102732 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2006054040 is about 44788.9946303777. The cubic root of 2006054040 is about 1261.1910380678.

The spelling of 2006054040 in words is "two billion, six million, fifty-four thousand, forty", and thus it is an eban number.