2231829666 has 96 divisors (see below), whose sum is σ = 5747924160. Its totient is φ = 636480000.

The previous prime is 2231829643. The next prime is 2231829667. The reversal of 2231829666 is 6669281322.

It is a super-3 number, since 3×2231829666³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231829667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165166 + ... + 178166.

It is an arithmetic number, because the mean of its divisors is an integer number (59874210).

Almost surely, 2^2231829666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231829666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873962080).

2231829666 is an abundant number, since it is smaller than the sum of its proper divisors (3516094494).

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

2231829666 is a wasteful number, since it uses less digits than its factorization.

2231829666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13034 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2231829666 is about 47242.2445063737. The cubic root of 2231829666 is about 1306.8337702638.

It can be divided in two parts, 22318 and 29666, that added together give a square (51984 = 228²).

The spelling of 2231829666 in words is "two billion, two hundred thirty-one million, eight hundred twenty-nine thousand, six hundred sixty-six".