2429138824 has 64 divisors (see below), whose sum is σ = 5353776000. Its totient is φ = 1011738624.

The previous prime is 2429138821. The next prime is 2429138863. The reversal of 2429138824 is 4288319242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2429138821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313752 + ... + 321400.

It is an arithmetic number, because the mean of its divisors is an integer number (83652750).

Almost surely, 2^2429138824 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 2429138824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676888000).

2429138824 is an abundant number, since it is smaller than the sum of its proper divisors (2924637176).

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

2429138824 is a wasteful number, since it uses less digits than its factorization.

2429138824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7822 (or 7818 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 2429138824 is about 49286.2944843696. The cubic root of 2429138824 is about 1344.2625871686.

The spelling of 2429138824 in words is "two billion, four hundred twenty-nine million, one hundred thirty-eight thousand, eight hundred twenty-four".