2424096144 has 60 divisors (see below), whose sum is σ = 6967471836. Its totient is φ = 786191616.

The previous prime is 2424096121. The next prime is 2424096149. The reversal of 2424096144 is 4416904242.

It is a happy number.

2424096144 is a `hidden beast` number, since 2 + 424 + 0 + 96 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1295136144 + 1128960000 = 35988^2 + 33600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2424096099 and 2424096108.

It is not an unprimeable number, because it can be changed into a prime (2424096149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222159 + ... + 232814.

Almost surely, 2^2424096144 is an apocalyptic number.

2424096144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424096144 is an abundant number, since it is smaller than the sum of its proper divisors (4543375692).

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

2424096144 is a wasteful number, since it uses less digits than its factorization.

2424096144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455024 (or 455015 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2424096144 is about 49235.1108864396. The cubic root of 2424096144 is about 1343.3317521930.

The spelling of 2424096144 in words is "two billion, four hundred twenty-four million, ninety-six thousand, one hundred forty-four".