2609066160 has 320 divisors, whose sum is σ = 9753125760. Its totient is φ = 638484480.

The previous prime is 2609066129. The next prime is 2609066167. The reversal of 2609066160 is 616609062.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2609066167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1504654 + ... + 1506386.

It is an arithmetic number, because the mean of its divisors is an integer number (30478518).

Almost surely, 2^2609066160 is an apocalyptic number.

2609066160 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 2609066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876562880).

2609066160 is an abundant number, since it is smaller than the sum of its proper divisors (7144059600).

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

2609066160 is a wasteful number, since it uses less digits than its factorization.

2609066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2609066160 is about 51079.0187846243. The cubic root of 2609066160 is about 1376.6652942653.

The spelling of 2609066160 in words is "two billion, six hundred nine million, sixty-six thousand, one hundred sixty".