2661273006 has 96 divisors (see below), whose sum is σ = 6525163008. Its totient is φ = 720054720.

The previous prime is 2661272993. The next prime is 2661273023. The reversal of 2661273006 is 6003721662.

It is a super-3 number, since 3×2661273006³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694576 + ... + 698396.

It is an arithmetic number, because the mean of its divisors is an integer number (67970448).

Almost surely, 2^2661273006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661273006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262581504).

2661273006 is an abundant number, since it is smaller than the sum of its proper divisors (3863890002).

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

2661273006 is a wasteful number, since it uses less digits than its factorization.

2661273006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2661273006 is about 51587.5276205402. The cubic root of 2661273006 is about 1385.7869787908.

Adding to 2661273006 its reverse (6003721662), we get a palindrome (8664994668).

The spelling of 2661273006 in words is "two billion, six hundred sixty-one million, two hundred seventy-three thousand, six".