2006505243744 has 24 divisors (see below), whose sum is σ = 5267076265080. Its totient is φ = 668835081216.

The previous prime is 2006505243713. The next prime is 2006505243829. The reversal of 2006505243744 is 4473425056002.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2006505243744² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2006505243696 and 2006505243705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10450548049 + ... + 10450548240.

It is an arithmetic number, because the mean of its divisors is an integer number (219461511045).

Almost surely, 2^{2006505243744} is an apocalyptic number.

2006505243744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006505243744 is an abundant number, since it is smaller than the sum of its proper divisors (3260571021336).

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

2006505243744 is a wasteful number, since it uses less digits than its factorization.

2006505243744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20901096302 (or 20901096294 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 2006505243744 in words is "two trillion, six billion, five hundred five million, two hundred forty-three thousand, seven hundred forty-four".