2853984 has 96 divisors (see below), whose sum is σ = 8902656. Its totient is φ = 783360.

The previous prime is 2853979. The next prime is 2853989. The reversal of 2853984 is 4893582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2853979) and next prime (2853989).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

Its product of digits (69120) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853989) 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, 20764 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (92736).

2^2853984 is an apocalyptic number.

2853984 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 2853984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451328).

2853984 is an abundant number, since it is smaller than the sum of its proper divisors (6048672).

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

2853984 is a wasteful number, since it uses less digits than its factorization.

2853984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 2853984 is about 1689.3738485013. The cubic root of 2853984 is about 141.8460276443.

The spelling of 2853984 in words is "two million, eight hundred fifty-three thousand, nine hundred eighty-four".