2009296960 has 84 divisors (see below), whose sum is σ = 5259249324. Its totient is φ = 730639360.

The previous prime is 2009296943. The next prime is 2009296967. The reversal of 2009296960 is 696929002.

It can be written as a sum of positive squares in 2 ways, for example, as 399040576 + 1610256384 = 19976^2 + 40128^2 .

It is not an unprimeable number, because it can be changed into a prime (2009296967) 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, 12774 + ... + 64666.

It is an arithmetic number, because the mean of its divisors is an integer number (62610111).

Almost surely, 2^2009296960 is an apocalyptic number.

2009296960 is a gapful number since it is divisible by the number (20) 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 2009296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629624662).

2009296960 is an abundant number, since it is smaller than the sum of its proper divisors (3249952364).

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

2009296960 is a wasteful number, since it uses less digits than its factorization.

2009296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51932 (or 51911 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 2009296960 is about 44825.1822082186. The cubic root of 2009296960 is about 1261.8702719683.

The spelling of 2009296960 in words is "two billion, nine million, two hundred ninety-six thousand, nine hundred sixty".