2009012544 has 420 divisors, whose sum is σ = 7567940160. Its totient is φ = 521095680.

The previous prime is 2009012527. The next prime is 2009012549. The reversal of 2009012544 is 4452109002.

2009012544 is a `hidden beast` number, since 20 + 0 + 90 + 12 + 544 = 666.

It is a super-2 number, since 2×2009012544² = 8072262803898703872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009012549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2793817 + ... + 2794535.

Almost surely, 2^2009012544 is an apocalyptic number.

2009012544 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 2009012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783970080).

2009012544 is an abundant number, since it is smaller than the sum of its proper divisors (5558927616).

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

2009012544 is a wasteful number, since it uses less digits than its factorization.

2009012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2009012544 is about 44822.0095935022. The cubic root of 2009012544 is about 1261.8107299100.

The spelling of 2009012544 in words is "two billion, nine million, twelve thousand, five hundred forty-four".