2829240 has 96 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 725760.

The previous prime is 2829223. The next prime is 2829247. The reversal of 2829240 is 429282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10305 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

2^2829240 is an apocalyptic number.

2829240 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 2829240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

2829240 is an abundant number, since it is smaller than the sum of its proper divisors (6717960).

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

2829240 is a wasteful number, since it uses less digits than its factorization.

2829240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

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

The square root of 2829240 is about 1682.0344824052. The cubic root of 2829240 is about 141.4349028605.

The spelling of 2829240 in words is "two million, eight hundred twenty-nine thousand, two hundred forty".