2424823968 has 384 divisors, whose sum is σ = 8193540096. Its totient is φ = 611942400.

The previous prime is 2424823901. The next prime is 2424823981. The reversal of 2424823968 is 8693284242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14519821 + ... + 14519987.

It is an arithmetic number, because the mean of its divisors is an integer number (21337344).

Almost surely, 2^2424823968 is an apocalyptic number.

2424823968 is a gapful number since it is divisible by the number (28) 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 2424823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096770048).

2424823968 is an abundant number, since it is smaller than the sum of its proper divisors (5768716128).

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

2424823968 is a wasteful number, since it uses less digits than its factorization.

2424823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2424823968 is about 49242.5016423821. The cubic root of 2424823968 is about 1343.4661818521.

The spelling of 2424823968 in words is "two billion, four hundred twenty-four million, eight hundred twenty-three thousand, nine hundred sixty-eight".