2009129472 has 240 divisors, whose sum is σ = 6681417600. Its totient is φ = 569327616.

The previous prime is 2009129467. The next prime is 2009129531. The reversal of 2009129472 is 2749219002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6418788 + ... + 6419100.

It is an arithmetic number, because the mean of its divisors is an integer number (27839240).

Almost surely, 2^2009129472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340708800).

2009129472 is an abundant number, since it is smaller than the sum of its proper divisors (4672288128).

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

2009129472 is a wasteful number, since it uses less digits than its factorization.

2009129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2009129472 is about 44823.3139337109. The cubic root of 2009129472 is about 1261.8352092897.

The spelling of 2009129472 in words is "two billion, nine million, one hundred twenty-nine thousand, four hundred seventy-two".