2666312792 has 64 divisors (see below), whose sum is σ = 5881800960. Its totient is φ = 1117123200.

The previous prime is 2666312791. The next prime is 2666312797. The reversal of 2666312792 is 2972136662.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666312791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123367 + ... + 1125737.

It is an arithmetic number, because the mean of its divisors is an integer number (91903140).

Almost surely, 2^2666312792 is an apocalyptic number.

2666312792 is a gapful number since it is divisible by the number (22) 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 2666312792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940900480).

2666312792 is an abundant number, since it is smaller than the sum of its proper divisors (3215488168).

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

2666312792 is a wasteful number, since it uses less digits than its factorization.

2666312792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3380 counting only the distinct ones).

The product of its digits is 326592, while the sum is 44.

The square root of 2666312792 is about 51636.3514590255. The cubic root of 2666312792 is about 1386.6612052402.

The spelling of 2666312792 in words is "two billion, six hundred sixty-six million, three hundred twelve thousand, seven hundred ninety-two".