2424840 has 96 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 584320.

The previous prime is 2424839. The next prime is 2424853. The reversal of 2424840 is 484242.

It is a super-3 number, since 3×2424840³ = 42773079333707712000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁷ + 4⁸ + 2²¹ + 4⁸ + 8 + 4⁸ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2424840.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14437 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2^2424840 is an apocalyptic number.

2424840 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 2424840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2424840 is an abundant number, since it is smaller than the sum of its proper divisors (5619000).

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

2424840 is a wasteful number, since it uses less digits than its factorization.

2424840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2424840 is about 1557.1897764884. The cubic root of 2424840 is about 134.3469142672.

The spelling of 2424840 in words is "two million, four hundred twenty-four thousand, eight hundred forty".