2005745924 has 48 divisors (see below), whose sum is σ = 4332384000. Its totient is φ = 791220096.

The previous prime is 2005745899. The next prime is 2005745933. The reversal of 2005745924 is 4295475002.

It is a super-2 number, since 2×2005745924² = 8046033423285227552, which contains 22 as substring.

It is an unprimeable number.

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, 123002 + ... + 138350.

It is an arithmetic number, because the mean of its divisors is an integer number (90258000).

Almost surely, 2^2005745924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005745924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166192000).

2005745924 is an abundant number, since it is smaller than the sum of its proper divisors (2326638076).

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

2005745924 is a wasteful number, since it uses less digits than its factorization.

2005745924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15732 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 2005745924 is about 44785.5548586818. The cubic root of 2005745924 is about 1261.1264646936.

The spelling of 2005745924 in words is "two billion, five million, seven hundred forty-five thousand, nine hundred twenty-four".