2424000096 has 144 divisors (see below), whose sum is σ = 7904935584. Its totient is φ = 690204672.

The previous prime is 2424000083. The next prime is 2424000109. The reversal of 2424000096 is 6900004242.

It is an interprime number because it is at equal distance from previous prime (2424000083) and next prime (2424000109).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637176 + ... + 640968.

It is an arithmetic number, because the mean of its divisors is an integer number (54895386).

Almost surely, 2^2424000096 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 2424000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952467792).

2424000096 is an abundant number, since it is smaller than the sum of its proper divisors (5480935488).

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

2424000096 is a wasteful number, since it uses less digits than its factorization.

2424000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2424000096 is about 49234.1354752980. The cubic root of 2424000096 is about 1343.3140100430.

The spelling of 2424000096 in words is "two billion, four hundred twenty-four million, ninety-six", and thus it is an aban number.