2479824 has 60 divisors (see below), whose sum is σ = 7355556. Its totient is φ = 777216.

The previous prime is 2479811. The next prime is 2479847. The reversal of 2479824 is 4289742.

2479824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 1774224 = 840^2 + 1332^2 .

It is a super-2 number, since 2×2479824² = 12299054141952, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1942 + ... + 2954.

2^2479824 is an apocalyptic number.

2479824 is a gapful number since it is divisible by the number (24) 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 2479824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677778).

2479824 is an abundant number, since it is smaller than the sum of its proper divisors (4875732).

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

2479824 is a wasteful number, since it uses less digits than its factorization.

2479824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2479824 is about 1574.7456937550. The cubic root of 2479824 is about 135.3547869494.

The spelling of 2479824 in words is "two million, four hundred seventy-nine thousand, eight hundred twenty-four".