2984364 has 60 divisors (see below), whose sum is σ = 7982128. Its totient is φ = 972000.

The previous prime is 2984363. The next prime is 2984389. The reversal of 2984364 is 4634892.

It is a happy number.

2984364 is a `hidden beast` number, since 298 + 4 + 364 = 666.

2984364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 2¹⁷ + 9⁵ + 8³ + 4⁸ + 3 + 6⁸ + 4¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (2984363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19689 + ... + 19839.

2^2984364 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 2984364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991064).

2984364 is an abundant number, since it is smaller than the sum of its proper divisors (4997764).

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

2984364 is a wasteful number, since it uses less digits than its factorization.

2984364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2984364 is about 1727.5311864045. The cubic root of 2984364 is about 143.9739536224.

The spelling of 2984364 in words is "two million, nine hundred eighty-four thousand, three hundred sixty-four".