2829414 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 739200.

The previous prime is 2829413. The next prime is 2829439. The reversal of 2829414 is 4149282.

2829414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2829414³ = 67953330807092429832, which contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27964 + ... + 28064.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

2^2829414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2829414 is an abundant number, since it is smaller than the sum of its proper divisors (4220826).

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

2829414 is a wasteful number, since it uses less digits than its factorization.

2829414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165.

The product of its digits is 4608, while the sum is 30.

The square root of 2829414 is about 1682.0862046875. The cubic root of 2829414 is about 141.4378022456.

The spelling of 2829414 in words is "two million, eight hundred twenty-nine thousand, four hundred fourteen".