2009375856 has 320 divisors, whose sum is σ = 6428160000. Its totient is φ = 598440960.

The previous prime is 2009375827. The next prime is 2009375917. The reversal of 2009375856 is 6585739002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13485670 + ... + 13485818.

It is an arithmetic number, because the mean of its divisors is an integer number (20088000).

Almost surely, 2^2009375856 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 2009375856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080000).

2009375856 is an abundant number, since it is smaller than the sum of its proper divisors (4418784144).

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

2009375856 is a wasteful number, since it uses less digits than its factorization.

2009375856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2009375856 is about 44826.0622406207. The cubic root of 2009375856 is about 1261.8867877308.

The spelling of 2009375856 in words is "two billion, nine million, three hundred seventy-five thousand, eight hundred fifty-six".