2829384 has 32 divisors (see below), whose sum is σ = 7860000. Its totient is φ = 943056.

The previous prime is 2829383. The next prime is 2829397. The reversal of 2829384 is 4839282.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2829383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6334 + ... + 6765.

It is an arithmetic number, because the mean of its divisors is an integer number (245625).

2^2829384 is an apocalyptic number.

2829384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2829384 is an abundant number, since it is smaller than the sum of its proper divisors (5030616).

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

2829384 is a wasteful number, since it uses less digits than its factorization.

2829384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13104 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2829384 is about 1682.0772871661. The cubic root of 2829384 is about 141.4373023601.

The spelling of 2829384 in words is "two million, eight hundred twenty-nine thousand, three hundred eighty-four".