2009844144 has 640 divisors, whose sum is σ = 7816642560. Its totient is φ = 479001600.

The previous prime is 2009844143. The next prime is 2009844157. The reversal of 2009844144 is 4414489002.

2009844144 is a `hidden beast` number, since 200 + 9 + 8 + 441 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2009844099 and 2009844108.

It is not an unprimeable number, because it can be changed into a prime (2009844143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28307629 + ... + 28307699.

It is an arithmetic number, because the mean of its divisors is an integer number (12213504).

Almost surely, 2^2009844144 is an apocalyptic number.

2009844144 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 2009844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908321280).

2009844144 is an abundant number, since it is smaller than the sum of its proper divisors (5806798416).

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

2009844144 is a wasteful number, since it uses less digits than its factorization.

2009844144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2009844144 is about 44831.2853262094. The cubic root of 2009844144 is about 1261.9848083075.

The spelling of 2009844144 in words is "two billion, nine million, eight hundred forty-four thousand, one hundred forty-four".