2006044224 has 224 divisors, whose sum is σ = 5730435072. Its totient is φ = 618240000.

The previous prime is 2006044219. The next prime is 2006044237. The reversal of 2006044224 is 4224406002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2006044194 and 2006044203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19861774 + ... + 19861874.

Almost surely, 2^2006044224 is an apocalyptic number.

2006044224 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 2006044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865217536).

2006044224 is an abundant number, since it is smaller than the sum of its proper divisors (3724390848).

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

2006044224 is a wasteful number, since it uses less digits than its factorization.

2006044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2006044224 is about 44788.8850497531. The cubic root of 2006044224 is about 1261.1889809828.

The spelling of 2006044224 in words is "two billion, six million, forty-four thousand, two hundred twenty-four".