2024405280 has 144 divisors (see below), whose sum is σ = 6928641720. Its totient is φ = 538251264.

The previous prime is 2024405239. The next prime is 2024405311. The reversal of 2024405280 is 825044202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1888076304 + 136328976 = 43452^2 + 11676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 535236 + ... + 539004.

Almost surely, 2^2024405280 is an apocalyptic number.

2024405280 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 2024405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464320860).

2024405280 is an abundant number, since it is smaller than the sum of its proper divisors (4904236440).

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

2024405280 is a wasteful number, since it uses less digits than its factorization.

2024405280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2024405280 is about 44993.3915147547. The cubic root of 2024405280 is about 1265.0251324247.

Adding to 2024405280 its reverse (825044202), we get a palindrome (2849449482).

The spelling of 2024405280 in words is "two billion, twenty-four million, four hundred five thousand, two hundred eighty".