2924384256 has 208 divisors, whose sum is σ = 8953745920. Its totient is φ = 942243840.

The previous prime is 2924384249. The next prime is 2924384257. The reversal of 2924384256 is 6524834292.

It is not an unprimeable number, because it can be changed into a prime (2924384257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3427926 + ... + 3428778.

Almost surely, 2^2924384256 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 2924384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476872960).

2924384256 is an abundant number, since it is smaller than the sum of its proper divisors (6029361664).

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

2924384256 is an equidigital number, since it uses as much as digits as its factorization.

2924384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 889 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2924384256 is about 54077.5762770485. The cubic root of 2924384256 is about 1430.0288934126.

The spelling of 2924384256 in words is "two billion, nine hundred twenty-four million, three hundred eighty-four thousand, two hundred fifty-six".