2424080 has 40 divisors (see below), whose sum is σ = 5701272. Its totient is φ = 958464.

The previous prime is 2424073. The next prime is 2424083. The reversal of 2424080 is 804242.

2424080 = T₅₆₁ + T₅₆₂ + ... + T₅₇₅.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 2408704 = 124^2 + 1552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2424083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12464 + ... + 12656.

2^2424080 is an apocalyptic number.

2424080 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 2424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850636).

2424080 is an abundant number, since it is smaller than the sum of its proper divisors (3277192).

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

2424080 is a wasteful number, since it uses less digits than its factorization.

2424080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2424080 is about 1556.9457280201. The cubic root of 2424080 is about 134.3328770079.

The spelling of 2424080 in words is "two million, four hundred twenty-four thousand, eighty".