2005894944 has 72 divisors (see below), whose sum is σ = 5724652752. Its totient is φ = 666241920.

The previous prime is 2005894937. The next prime is 2005894967. The reversal of 2005894944 is 4494985002.

2005894944 is a `hidden beast` number, since 20 + 0 + 589 + 4 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2005894944² = 8047229052729526272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005894944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69199 + ... + 93809.

It is an arithmetic number, because the mean of its divisors is an integer number (79509066).

Almost surely, 2^2005894944 is an apocalyptic number.

2005894944 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 2005894944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862326376).

2005894944 is an abundant number, since it is smaller than the sum of its proper divisors (3718757808).

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

2005894944 is a wasteful number, since it uses less digits than its factorization.

2005894944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24910 (or 24899 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2005894944 is about 44787.2185338630. The cubic root of 2005894944 is about 1261.1576963682.

The spelling of 2005894944 in words is "two billion, five million, eight hundred ninety-four thousand, nine hundred forty-four".