2666561310 has 160 divisors (see below), whose sum is σ = 8477472960. Its totient is φ = 588446208.

The previous prime is 2666561267. The next prime is 2666561329. The reversal of 2666561310 is 131656662.

It is a super-2 number, since 2×2666561310² = 14221098439977832200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156322 + ... + 172538.

It is an arithmetic number, because the mean of its divisors is an integer number (52984206).

Almost surely, 2^2666561310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666561310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238736480).

2666561310 is an abundant number, since it is smaller than the sum of its proper divisors (5810911650).

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

2666561310 is a wasteful number, since it uses less digits than its factorization.

2666561310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272 (or 16263 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2666561310 is about 51638.7578278177. The cubic root of 2666561310 is about 1386.7042859026.

The spelling of 2666561310 in words is "two billion, six hundred sixty-six million, five hundred sixty-one thousand, three hundred ten".