2481984 has 84 divisors (see below), whose sum is σ = 7396480. Its totient is φ = 794880.

The previous prime is 2481979. The next prime is 2482009. The reversal of 2481984 is 4891842.

2481984 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17787 + ... + 17925.

2^2481984 is an apocalyptic number.

2481984 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 2481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698240).

2481984 is an abundant number, since it is smaller than the sum of its proper divisors (4914496).

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

2481984 is a wasteful number, since it uses less digits than its factorization.

2481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2481984 is about 1575.4313694985. The cubic root of 2481984 is about 135.3940748847.

The spelling of 2481984 in words is "two million, four hundred eighty-one thousand, nine hundred eighty-four".