2829936 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 854784.

The previous prime is 2829923. The next prime is 2829949. The reversal of 2829936 is 6399282.

2829936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2829923) and next prime (2829949).

It is a super-3 number, since 3×2829936³ = 67990947977924333568, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2829894 and 2829903.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26395 + ... + 26501.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

2^2829936 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 2829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2829936 is an abundant number, since it is smaller than the sum of its proper divisors (5205264).

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

2829936 is a wasteful number, since it uses less digits than its factorization.

2829936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 2829936 is about 1682.2413619930. The cubic root of 2829936 is about 141.4464996877.

The spelling of 2829936 in words is "two million, eight hundred twenty-nine thousand, nine hundred thirty-six".