2478816 has 96 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 777600.

The previous prime is 2478809. The next prime is 2478877. The reversal of 2478816 is 6188742.

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

It is a super-2 number, since 2×2478816² = 12289057523712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 16341 + ... + 16491.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2^2478816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

2478816 is an abundant number, since it is smaller than the sum of its proper divisors (5181984).

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

2478816 is a wasteful number, since it uses less digits than its factorization.

2478816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2478816 is about 1574.4256095478. The cubic root of 2478816 is about 135.3364447720.

The spelling of 2478816 in words is "two million, four hundred seventy-eight thousand, eight hundred sixteen".