2580480 has 168 divisors, whose sum is σ = 10222992. Its totient is φ = 589824.

The previous prime is 2580469. The next prime is 2580493. The reversal of 2580480 is 840852.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)⁶.

2580480 is a `hidden beast` number, since 2 + 580 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368637 + ... + 368643.

2^2580480 is an apocalyptic number.

2580480 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 2580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111496).

2580480 is an abundant number, since it is smaller than the sum of its proper divisors (7642512).

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

2580480 is an equidigital number, since it uses as much as digits as its factorization.

2580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2580480 is about 1606.3872509454. The cubic root of 2580480 is about 137.1619021170.

The spelling of 2580480 in words is "two million, five hundred eighty thousand, four hundred eighty".