2538984 has 96 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 677376.

The previous prime is 2538983. The next prime is 2539049. The reversal of 2538984 is 4898352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2538983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19929 + ... + 20055.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

2^2538984 is an apocalyptic number.

2538984 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 2538984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840).

2538984 is an abundant number, since it is smaller than the sum of its proper divisors (5340696).

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

2538984 is a wasteful number, since it uses less digits than its factorization.

2538984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 2538984 is about 1593.4189656208. The cubic root of 2538984 is about 136.4227044302.

The spelling of 2538984 in words is "two million, five hundred thirty-eight thousand, nine hundred eighty-four".