2005585920 has 624 divisors, whose sum is σ = 8014336512. Its totient is φ = 477757440.

The previous prime is 2005585913. The next prime is 2005585921. The reversal of 2005585920 is 295855002.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005585921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696305 + ... + 64696335.

It is an arithmetic number, because the mean of its divisors is an integer number (12843488).

Almost surely, 2^2005585920 is an apocalyptic number.

2005585920 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 2005585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007168256).

2005585920 is an abundant number, since it is smaller than the sum of its proper divisors (6008750592).

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

2005585920 is an equidigital number, since it uses as much as digits as its factorization.

2005585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2005585920 is about 44783.7684881476. The cubic root of 2005585920 is about 1261.0929292655.

The spelling of 2005585920 in words is "two billion, five million, five hundred eighty-five thousand, nine hundred twenty".