2666455506 has 96 divisors (see below), whose sum is σ = 6814342080. Its totient is φ = 742896000.

The previous prime is 2666455471. The next prime is 2666455529. The reversal of 2666455506 is 6055546662.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690481 + ... + 694331.

It is an arithmetic number, because the mean of its divisors is an integer number (70982730).

Almost surely, 2^2666455506 is an apocalyptic number.

2666455506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666455506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407171040).

2666455506 is an abundant number, since it is smaller than the sum of its proper divisors (4147886574).

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

2666455506 is a wasteful number, since it uses less digits than its factorization.

2666455506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 2666455506 is about 51637.7333545926. The cubic root of 2666455506 is about 1386.6859450779.

The spelling of 2666455506 in words is "two billion, six hundred sixty-six million, four hundred fifty-five thousand, five hundred six".