2829120 has 112 divisors (see below), whose sum is σ = 10290048. Its totient is φ = 645120.

The previous prime is 2829107. The next prime is 2829121. The reversal of 2829120 is 219282.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6510 + ... + 6930.

2^2829120 is an apocalyptic number.

2829120 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 2829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145024).

2829120 is an abundant number, since it is smaller than the sum of its proper divisors (7460928).

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

2829120 is a wasteful number, since it uses less digits than its factorization.

2829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2829120 is about 1681.9988109389. The cubic root of 2829120 is about 141.4329032154.

The spelling of 2829120 in words is "two million, eight hundred twenty-nine thousand, one hundred twenty".