2870784 has 120 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 811008.

The previous prime is 2870761. The next prime is 2870789. The reversal of 2870784 is 4870782.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870789) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32212 + ... + 32300.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

2^2870784 is an apocalyptic number.

2870784 is a gapful number since it is divisible by the number (24) 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 2870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

2870784 is an abundant number, since it is smaller than the sum of its proper divisors (6704496).

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

2870784 is an equidigital number, since it uses as much as digits as its factorization.

2870784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2870784 is about 1694.3388090934. The cubic root of 2870784 is about 142.1238092320.

The spelling of 2870784 in words is "two million, eight hundred seventy thousand, seven hundred eighty-four".