2666829312 has 480 divisors, whose sum is σ = 9553674240. Its totient is φ = 731566080.

The previous prime is 2666829301. The next prime is 2666829313. The reversal of 2666829312 is 2139286662.

It is a super-2 number, since 2×2666829312² = 14223957158684786688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666829313) 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, 20998593 + ... + 20998719.

It is an arithmetic number, because the mean of its divisors is an integer number (19903488).

Almost surely, 2^2666829312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776837120).

2666829312 is an abundant number, since it is smaller than the sum of its proper divisors (6886844928).

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

2666829312 is a wasteful number, since it uses less digits than its factorization.

2666829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

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

The square root of 2666829312 is about 51641.3527320887. The cubic root of 2666829312 is about 1386.7507411220.

The spelling of 2666829312 in words is "two billion, six hundred sixty-six million, eight hundred twenty-nine thousand, three hundred twelve".