2300666082 has 64 divisors (see below), whose sum is σ = 5507865216. Its totient is φ = 631388160.

The previous prime is 2300666051. The next prime is 2300666089. The reversal of 2300666082 is 2806660032.

It is a super-3 number, since 3×2300666082³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2300666089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20178 + ... + 70770.

It is an arithmetic number, because the mean of its divisors is an integer number (86060394).

Almost surely, 2^2300666082 is an apocalyptic number.

2300666082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300666082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753932608).

2300666082 is an abundant number, since it is smaller than the sum of its proper divisors (3207199134).

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

2300666082 is a wasteful number, since it uses less digits than its factorization.

2300666082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50675.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2300666082 is about 47965.2591153222. The cubic root of 2300666082 is about 1320.1335344707.

The spelling of 2300666082 in words is "two billion, three hundred million, six hundred sixty-six thousand, eighty-two".