2829002368 has 64 divisors (see below), whose sum is σ = 6065538120. Its totient is φ = 1309409280.

The previous prime is 2829002279. The next prime is 2829002389. The reversal of 2829002368 is 8632009282.

It can be written as a sum of positive squares in 4 ways, for example, as 1737889344 + 1091113024 = 41688^2 + 33032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2829002368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122080 + ... + 143392.

Almost surely, 2^2829002368 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 2829002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032769060).

2829002368 is an abundant number, since it is smaller than the sum of its proper divisors (3236535752).

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

2829002368 is a wasteful number, since it uses less digits than its factorization.

2829002368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21405 (or 21393 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2829002368 is about 53188.3668484002. The cubic root of 2829002368 is about 1414.3094297499.

The spelling of 2829002368 in words is "two billion, eight hundred twenty-nine million, two thousand, three hundred sixty-eight".