2984688 has 150 divisors (see below), whose sum is σ = 10262736. Its totient is φ = 834624.

The previous prime is 2984671. The next prime is 2984689. The reversal of 2984688 is 8864892.

It is a happy number.

2984688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (2984689) 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 29 ways as a sum of consecutive naturals, for example, 63481 + ... + 63527.

2^2984688 is an apocalyptic number.

2984688 is a gapful number since it is divisible by the number (28) 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 2984688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131368).

2984688 is an abundant number, since it is smaller than the sum of its proper divisors (7278048).

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

2984688 is a wasteful number, since it uses less digits than its factorization.

2984688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2984688 is about 1727.6249593011. The cubic root of 2984688 is about 143.9791636519.

The spelling of 2984688 in words is "two million, nine hundred eighty-four thousand, six hundred eighty-eight".