2009608128 has 168 divisors, whose sum is σ = 6501109680. Its totient is φ = 587919360.

The previous prime is 2009608103. The next prime is 2009608151. The reversal of 2009608128 is 8218069002.

2009608128 is a `hidden beast` number, since 20 + 0 + 9 + 608 + 1 + 28 = 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 = 2009608092 and 2009608101.

It is a congruent number.

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, 178276 + ... + 189212.

Almost surely, 2^2009608128 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 2009608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250554840).

2009608128 is an abundant number, since it is smaller than the sum of its proper divisors (4491501552).

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

2009608128 is a wasteful number, since it uses less digits than its factorization.

2009608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10995 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2009608128 is about 44828.6529799859. The cubic root of 2009608128 is about 1261.9354080813.

The spelling of 2009608128 in words is "two billion, nine million, six hundred eight thousand, one hundred twenty-eight".