2984064 has 64 divisors (see below), whose sum is σ = 8364000. Its totient is φ = 940032.

The previous prime is 2984063. The next prime is 2984101. The reversal of 2984064 is 4604892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2984063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7092 + ... + 7500.

2^2984064 is an apocalyptic number.

2984064 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 2984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182000).

2984064 is an abundant number, since it is smaller than the sum of its proper divisors (5379936).

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

2984064 is a wasteful number, since it uses less digits than its factorization.

2984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2984064 is about 1727.4443551096. Note that the first 3 decimals coincide. The cubic root of 2984064 is about 143.9691291848.

The spelling of 2984064 in words is "two million, nine hundred eighty-four thousand, sixty-four".