2829840 has 80 divisors (see below), whose sum is σ = 9457728. Its totient is φ = 695808.

The previous prime is 2829839. The next prime is 2829863. The reversal of 2829840 is 489282.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667 + ... + 3573.

2^2829840 is an apocalyptic number.

2829840 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 2829840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728864).

2829840 is an abundant number, since it is smaller than the sum of its proper divisors (6627888).

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

2829840 is a wasteful number, since it uses less digits than its factorization.

2829840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2829840 is about 1682.2128283900. The cubic root of 2829840 is about 141.4449002384. Note that the first 3 decimals are identical.

The spelling of 2829840 in words is "two million, eight hundred twenty-nine thousand, eight hundred forty".