2478080 has 78 divisors (see below), whose sum is σ = 6536418. Its totient is φ = 901120.

The previous prime is 2478067. The next prime is 2478083. The reversal of 2478080 is 808742.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 495616 = 1408^2 + 704^2 .

It is a super-2 number, since 2×2478080² = 12281760972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 225275 + ... + 225285.

2^2478080 is an apocalyptic number.

2478080 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 2478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268209).

2478080 is an abundant number, since it is smaller than the sum of its proper divisors (4058338).

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

2478080 is an equidigital number, since it uses as much as digits as its factorization.

2478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2478080 is about 1574.1918561599. The cubic root of 2478080 is about 135.3230489298.

The spelling of 2478080 in words is "two million, four hundred seventy-eight thousand, eighty".