2429752224 has 192 divisors, whose sum is σ = 7017615360. Its totient is φ = 733224960.

The previous prime is 2429752207. The next prime is 2429752231. The reversal of 2429752224 is 4222579242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5484547 + ... + 5484989.

It is an arithmetic number, because the mean of its divisors is an integer number (36550080).

Almost surely, 2^2429752224 is an apocalyptic number.

2429752224 is a gapful number since it is divisible by the number (24) 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 2429752224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508807680).

2429752224 is an abundant number, since it is smaller than the sum of its proper divisors (4587863136).

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

2429752224 is a wasteful number, since it uses less digits than its factorization.

2429752224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 2429752224 is about 49292.5169168709. The cubic root of 2429752224 is about 1344.3757275768.

The spelling of 2429752224 in words is "two billion, four hundred twenty-nine million, seven hundred fifty-two thousand, two hundred twenty-four".