2866332672 has 264 divisors, whose sum is σ = 9552710336. Its totient is φ = 810860544.

The previous prime is 2866332643. The next prime is 2866332683. The reversal of 2866332672 is 2762336682.

2866332672 is a `hidden beast` number, since 2 + 8 + 6 + 633 + 2 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×2866332672³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10128243 + ... + 10128525.

Almost surely, 2^2866332672 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 2866332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776355168).

2866332672 is an abundant number, since it is smaller than the sum of its proper divisors (6686377664).

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

2866332672 is a wasteful number, since it uses less digits than its factorization.

2866332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2866332672 is about 53538.1422165544. The cubic root of 2866332672 is about 1420.5031398292.

The spelling of 2866332672 in words is "two billion, eight hundred sixty-six million, three hundred thirty-two thousand, six hundred seventy-two".