2592480 has 96 divisors (see below), whose sum is σ = 8926848. Its totient is φ = 627200.

The previous prime is 2592467. The next prime is 2592487. The reversal of 2592480 is 842952.

2592480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2592487) 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 15 ways as a sum of consecutive naturals, for example, 5035 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (92988).

2^2592480 is an apocalyptic number.

2592480 is a gapful number since it is divisible by the number (20) 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 2592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424).

2592480 is an abundant number, since it is smaller than the sum of its proper divisors (6334368).

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

2592480 is a wasteful number, since it uses less digits than its factorization.

2592480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2592480 is about 1610.1180080975. The cubic root of 2592480 is about 137.3741879478.

The spelling of 2592480 in words is "two million, five hundred ninety-two thousand, four hundred eighty".