2009408544 has 288 divisors, whose sum is σ = 6795944064. Its totient is φ = 555171840.

The previous prime is 2009408519. The next prime is 2009408567. The reversal of 2009408544 is 4458049002.

2009408544 is a `hidden beast` number, since 20 + 0 + 94 + 0 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2009408499 and 2009408508.

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 47 ways as a sum of consecutive naturals, for example, 3994597 + ... + 3995099.

It is an arithmetic number, because the mean of its divisors is an integer number (23597028).

Almost surely, 2^2009408544 is an apocalyptic number.

2009408544 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 2009408544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397972032).

2009408544 is an abundant number, since it is smaller than the sum of its proper divisors (4786535520).

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

2009408544 is a wasteful number, since it uses less digits than its factorization.

2009408544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2009408544 is about 44826.4268484563. The cubic root of 2009408544 is about 1261.8936303749.

The spelling of 2009408544 in words is "two billion, nine million, four hundred eight thousand, five hundred forty-four".