2006340550656 has 480 divisors, whose sum is σ = 5977657072128. Its totient is φ = 594542592000.

The previous prime is 2006340550631. The next prime is 2006340550657. The reversal of 2006340550656 is 6560550436002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006340550657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2671558281 + ... + 2671559031.

Almost surely, 2^{2006340550656} is an apocalyptic number.

2006340550656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006340550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988828536064).

2006340550656 is an abundant number, since it is smaller than the sum of its proper divisors (3971316521472).

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

2006340550656 is a wasteful number, since it uses less digits than its factorization.

2006340550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 2006340550656 its reverse (6560550436002), we get a palindrome (8566890986658).

The spelling of 2006340550656 in words is "two trillion, six billion, three hundred forty million, five hundred fifty thousand, six hundred fifty-six".