2984872 has 32 divisors (see below), whose sum is σ = 6181920. Its totient is φ = 1339840.

The previous prime is 2984867. The next prime is 2984873. The reversal of 2984872 is 2784892.

2984872 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁹ + 9⁵ + 8 + 4⁶ + 8³ + 7⁷ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2984873) 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 7 ways as a sum of consecutive naturals, for example, 9258 + ... + 9574.

It is an arithmetic number, because the mean of its divisors is an integer number (193185).

2^2984872 is an apocalyptic number.

2984872 is a gapful number since it is divisible by the number (22) 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 2984872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090960).

2984872 is an abundant number, since it is smaller than the sum of its proper divisors (3197048).

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

2984872 is a wasteful number, since it uses less digits than its factorization.

2984872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 2984872 is about 1727.6782107788. The cubic root of 2984872 is about 143.9821222662.

The spelling of 2984872 in words is "two million, nine hundred eighty-four thousand, eight hundred seventy-two".