2478540 has 48 divisors (see below), whose sum is σ = 7025760. Its totient is φ = 652800.

The previous prime is 2478529. The next prime is 2478547. The reversal of 2478540 is 458742.

2478540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478540² = 12286321063200, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2¹⁹ + 4² + 7³ + 8³ + 5⁹ + 4⁴ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2478498 and 2478507.

It is not an unprimeable number, because it can be changed into a prime (2478547) 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, 5856 + ... + 6264.

It is an arithmetic number, because the mean of its divisors is an integer number (146370).

2^2478540 is an apocalyptic number.

2478540 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 2478540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512880).

2478540 is an abundant number, since it is smaller than the sum of its proper divisors (4547220).

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

2478540 is a wasteful number, since it uses less digits than its factorization.

2478540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2478540 is about 1574.3379560946. The cubic root of 2478540 is about 135.3314216419.

The spelling of 2478540 in words is "two million, four hundred seventy-eight thousand, five hundred forty".