2429113920 has 112 divisors (see below), whose sum is σ = 7741724928. Its totient is φ = 645304320.

The previous prime is 2429113853. The next prime is 2429113931. The reversal of 2429113920 is 293119242.

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 15 ways as a sum of consecutive naturals, for example, 255492 + ... + 264828.

It is an arithmetic number, because the mean of its divisors is an integer number (69122544).

Almost surely, 2^2429113920 is an apocalyptic number.

2429113920 is a gapful number since it is divisible by the number (20) 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 2429113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870862464).

2429113920 is an abundant number, since it is smaller than the sum of its proper divisors (5312611008).

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

2429113920 is a wasteful number, since it uses less digits than its factorization.

2429113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9628 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2429113920 is about 49286.0418374209. The cubic root of 2429113920 is about 1344.2579932731.

The spelling of 2429113920 in words is "two billion, four hundred twenty-nine million, one hundred thirteen thousand, nine hundred twenty".