2829420 has 72 divisors (see below), whose sum is σ = 9369360. Its totient is φ = 685440.

The previous prime is 2829413. The next prime is 2829439. The reversal of 2829420 is 249282.

2829420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1266 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (130130).

2^2829420 is an apocalyptic number.

2829420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684680).

2829420 is an abundant number, since it is smaller than the sum of its proper divisors (6539940).

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

2829420 is a wasteful number, since it uses less digits than its factorization.

2829420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2829420 is about 1682.0879881861. The cubic root of 2829420 is about 141.4379022223.

It can be divided in two parts, 2829 and 420, that added together give a square (3249 = 57²).

The spelling of 2829420 in words is "two million, eight hundred twenty-nine thousand, four hundred twenty".