2429561472 has 256 divisors, whose sum is σ = 7227964800. Its totient is φ = 718405632.

The previous prime is 2429561471. The next prime is 2429561527. The reversal of 2429561472 is 2741659242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2429561471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21500488 + ... + 21500600.

Almost surely, 2^2429561472 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 2429561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613982400).

2429561472 is an abundant number, since it is smaller than the sum of its proper divisors (4798403328).

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

2429561472 is a wasteful number, since it uses less digits than its factorization.

2429561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2429561472 is about 49290.5819807395. The cubic root of 2429561472 is about 1344.3405457906.

The spelling of 2429561472 in words is "two billion, four hundred twenty-nine million, five hundred sixty-one thousand, four hundred seventy-two".