2409824256 has 272 divisors, whose sum is σ = 7851677184. Its totient is φ = 641728512.

The previous prime is 2409824231. The next prime is 2409824257. The reversal of 2409824256 is 6524289042.

It is a tau number, because it is divible by the number of its divisors (272).

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

It is not an unprimeable number, because it can be changed into a prime (2409824257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23396301 + ... + 23396403.

Almost surely, 2^2409824256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925838592).

2409824256 is an abundant number, since it is smaller than the sum of its proper divisors (5441852928).

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

2409824256 is an equidigital number, since it uses as much as digits as its factorization.

2409824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2409824256 is about 49089.9608474075. The cubic root of 2409824256 is about 1340.6902688530.

The spelling of 2409824256 in words is "two billion, four hundred nine million, eight hundred twenty-four thousand, two hundred fifty-six".