2984832 has 48 divisors (see below), whose sum is σ = 8592480. Its totient is φ = 994560.

The previous prime is 2984831. The next prime is 2984833. The reversal of 2984832 is 2384892.

It is an interprime number because it is at equal distance from previous prime (2984831) and next prime (2984833).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

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 (2984831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144 + ... + 2447.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

2^2984832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

2984832 is an abundant number, since it is smaller than the sum of its proper divisors (5607648).

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

2984832 is a wasteful number, since it uses less digits than its factorization.

2984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2596 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2984832 is about 1727.6666345103. Note that the first 4 decimals coincide. The cubic root of 2984832 is about 143.9814790995.

The spelling of 2984832 in words is "two million, nine hundred eighty-four thousand, eight hundred thirty-two".