2009866752 has 120 divisors (see below), whose sum is σ = 6142063356. Its totient is φ = 630521856.

The previous prime is 2009866739. The next prime is 2009866757. The reversal of 2009866752 is 2576689002.

It can be written as a sum of positive squares in 2 ways, for example, as 2005606656 + 4260096 = 44784^2 + 2064^2 .

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2009866698 and 2009866707.

It is not an unprimeable number, because it can be changed into a prime (2009866757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65508 + ... + 91164.

Almost surely, 2^2009866752 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 2009866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071031678).

2009866752 is an abundant number, since it is smaller than the sum of its proper divisors (4132196604).

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

2009866752 is a wasteful number, since it uses less digits than its factorization.

2009866752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25698 (or 25679 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2009866752 is about 44831.5374708475. The cubic root of 2009866752 is about 1261.9895401579.

The spelling of 2009866752 in words is "two billion, nine million, eight hundred sixty-six thousand, seven hundred fifty-two".