2429404032 has 128 divisors (see below), whose sum is σ = 7267230720. Its totient is φ = 712396800.

The previous prime is 2429404013. The next prime is 2429404051. The reversal of 2429404032 is 2304049242.

It is an interprime number because it is at equal distance from previous prime (2429404013) and next prime (2429404051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121668 + ... + 140220.

It is an arithmetic number, because the mean of its divisors is an integer number (56775240).

Almost surely, 2^2429404032 is an apocalyptic number.

2429404032 is a gapful number since it is divisible by the number (22) 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 2429404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633615360).

2429404032 is an abundant number, since it is smaller than the sum of its proper divisors (4837826688).

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

2429404032 is a wasteful number, since it uses less digits than its factorization.

2429404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18612 (or 18600 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2429404032 is about 49288.9848952076. The cubic root of 2429404032 is about 1344.3115065929.

The spelling of 2429404032 in words is "two billion, four hundred twenty-nine million, four hundred four thousand, thirty-two".