2009944440 has 384 divisors, whose sum is σ = 7733232000. Its totient is φ = 443289600.

The previous prime is 2009944423. The next prime is 2009944463. The reversal of 2009944440 is 444499002.

It is a happy number.

2009944440 is a `hidden beast` number, since 200 + 9 + 9 + 4 + 4 + 440 = 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 = 2009944395 and 2009944404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13489486 + ... + 13489634.

It is an arithmetic number, because the mean of its divisors is an integer number (20138625).

Almost surely, 2^2009944440 is an apocalyptic number.

2009944440 is a gapful number since it is divisible by the number (20) 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 2009944440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866616000).

2009944440 is an abundant number, since it is smaller than the sum of its proper divisors (5723287560).

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

2009944440 is a wasteful number, since it uses less digits than its factorization.

2009944440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2009944440 is about 44832.4039061035. The cubic root of 2009944440 is about 1262.0057999722.

The spelling of 2009944440 in words is "two billion, nine million, nine hundred forty-four thousand, four hundred forty".