2473824 has 48 divisors (see below), whose sum is σ = 6601392. Its totient is φ = 811008.

The previous prime is 2473813. The next prime is 2473837. The reversal of 2473824 is 4283742.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2473824² = 12239610365952, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 4 + 7⁴ + 3¹¹ + 8³ + 2²¹ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 2473791 and 2473800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6832 + ... + 7184.

It is an arithmetic number, because the mean of its divisors is an integer number (137529).

2^2473824 is an apocalyptic number.

2473824 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 2473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300696).

2473824 is an abundant number, since it is smaller than the sum of its proper divisors (4127568).

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

2473824 is a wasteful number, since it uses less digits than its factorization.

2473824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2473824 is about 1572.8394705119. The cubic root of 2473824 is about 135.2455339551.

The spelling of 2473824 in words is "two million, four hundred seventy-three thousand, eight hundred twenty-four".