2005059420 has 720 divisors, whose sum is σ = 8273089440. Its totient is φ = 402361344.

The previous prime is 2005059401. The next prime is 2005059443. The reversal of 2005059420 is 249505002.

2005059420 is a `hidden beast` number, since 2 + 0 + 0 + 50 + 594 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 29926227 + ... + 29926293.

It is an arithmetic number, because the mean of its divisors is an integer number (11490402).

Almost surely, 2^2005059420 is an apocalyptic number.

2005059420 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 2005059420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136544720).

2005059420 is an abundant number, since it is smaller than the sum of its proper divisors (6268030020).

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

2005059420 is a wasteful number, since it uses less digits than its factorization.

2005059420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2005059420 is about 44777.8898564906. The cubic root of 2005059420 is about 1260.9825669137.

The spelling of 2005059420 in words is "two billion, five million, fifty-nine thousand, four hundred twenty".