2553984 has 64 divisors (see below), whose sum is σ = 7548000. Its totient is φ = 850176.

The previous prime is 2553959. The next prime is 2554003. The reversal of 2553984 is 4893552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2²⁰ + 5 + 5⁸ + 3¹² + 9⁵ + 8⁶ + 4⁹ .

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3087 + ... + 3825.

2^2553984 is an apocalyptic number.

2553984 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 2553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774000).

2553984 is an abundant number, since it is smaller than the sum of its proper divisors (4994016).

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

2553984 is an equidigital number, since it uses as much as digits as its factorization.

2553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2553984 is about 1598.1188942003. The cubic root of 2553984 is about 136.6908331909.

It can be divided in two parts, 2553 and 984, that multiplied together give a palindrome (2512152).

The spelling of 2553984 in words is "two million, five hundred fifty-three thousand, nine hundred eighty-four".