2478480 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 630784.

The previous prime is 2478479. The next prime is 2478517. The reversal of 2478480 is 848742.

2478480 = T₃₀₅ + T₃₀₆ + ... + T₃₅₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2478480² = 12285726220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5296 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

2^2478480 is an apocalyptic number.

2478480 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 2478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2478480 is an abundant number, since it is smaller than the sum of its proper divisors (5556720).

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

2478480 is a wasteful number, since it uses less digits than its factorization.

2478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2478480 is about 1574.3189003502. The cubic root of 2478480 is about 135.3303296078.

The spelling of 2478480 in words is "two million, four hundred seventy-eight thousand, four hundred eighty".