2429520096 has 96 divisors (see below), whose sum is σ = 6628608000. Its totient is φ = 778314240.

The previous prime is 2429520089. The next prime is 2429520109. The reversal of 2429520096 is 6900259242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 440685 + ... + 446163.

It is an arithmetic number, because the mean of its divisors is an integer number (69048000).

Almost surely, 2^2429520096 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 2429520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314304000).

2429520096 is an abundant number, since it is smaller than the sum of its proper divisors (4199087904).

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

2429520096 is a wasteful number, since it uses less digits than its factorization.

2429520096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2429520096 is about 49290.1622638839. The cubic root of 2429520096 is about 1344.3329142693.

The spelling of 2429520096 in words is "two billion, four hundred twenty-nine million, five hundred twenty thousand, ninety-six".