2005963824 has 80 divisors (see below), whose sum is σ = 5494469760. Its totient is φ = 628454400.

The previous prime is 2005963823. The next prime is 2005963859. The reversal of 2005963824 is 4283695002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2005963823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856447 + ... + 858785.

It is an arithmetic number, because the mean of its divisors is an integer number (68680872).

Almost surely, 2^2005963824 is an apocalyptic number.

2005963824 is a gapful number since it is divisible by the number (24) 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 2005963824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747234880).

2005963824 is an abundant number, since it is smaller than the sum of its proper divisors (3488505936).

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

2005963824 is a wasteful number, since it uses less digits than its factorization.

2005963824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2005963824 is about 44787.9874966491. The cubic root of 2005963824 is about 1261.1721317449.

The spelling of 2005963824 in words is "two billion, five million, nine hundred sixty-three thousand, eight hundred twenty-four".