2409840384 has 108 divisors (see below), whose sum is σ = 7460939304. Its totient is φ = 688515072.

The previous prime is 2409840383. The next prime is 2409840409. The reversal of 2409840384 is 4830489042.

It is a super-3 number, since 3×2409840384³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409840383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5614 + ... + 69650.

Almost surely, 2^2409840384 is an apocalyptic number.

2409840384 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 2409840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730469652).

2409840384 is an abundant number, since it is smaller than the sum of its proper divisors (5051098920).

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

2409840384 is an equidigital number, since it uses as much as digits as its factorization.

2409840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64070 (or 64049 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2409840384 is about 49090.1251169724. The cubic root of 2409840384 is about 1340.6932597494.

The spelling of 2409840384 in words is "two billion, four hundred nine million, eight hundred forty thousand, three hundred eighty-four".