2005658682880 has 80 divisors (see below), whose sum is σ = 4810658973120. Its totient is φ = 801966702592.

The previous prime is 2005658682829. The next prime is 2005658682887. The reversal of 2005658682880 is 882868565002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005658682887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6842697 + ... + 7129783.

It is an arithmetic number, because the mean of its divisors is an integer number (60133237164).

Almost surely, 2^{2005658682880} is an apocalyptic number.

2005658682880 is a gapful number since it is divisible by the number (20) 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 2005658682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405329486560).

2005658682880 is an abundant number, since it is smaller than the sum of its proper divisors (2805000290240).

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

2005658682880 is an equidigital number, since it uses as much as digits as its factorization.

2005658682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289839 (or 289823 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 58.

The spelling of 2005658682880 in words is "two trillion, five billion, six hundred fifty-eight million, six hundred eighty-two thousand, eight hundred eighty".