2253984 has 48 divisors (see below), whose sum is σ = 6041952. Its totient is φ = 735488.

The previous prime is 2253973. The next prime is 2253997. The reversal of 2253984 is 4893522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 4867 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (125874).

2^2253984 is an apocalyptic number.

2253984 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 2253984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020976).

2253984 is an abundant number, since it is smaller than the sum of its proper divisors (3787968).

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

2253984 is a wasteful number, since it uses less digits than its factorization.

2253984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 2253984 is about 1501.3274126585. The cubic root of 2253984 is about 131.1143650974.

The spelling of 2253984 in words is "two million, two hundred fifty-three thousand, nine hundred eighty-four".