2429888832 has 252 divisors, whose sum is σ = 8157947616. Its totient is φ = 691488000.

The previous prime is 2429888831. The next prime is 2429888837. The reversal of 2429888832 is 2388889242.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429888831) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9680707 + ... + 9680957.

It is an arithmetic number, because the mean of its divisors is an integer number (32372808).

Almost surely, 2^2429888832 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 2429888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078973808).

2429888832 is an abundant number, since it is smaller than the sum of its proper divisors (5728058784).

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

2429888832 is an frugal number, since it uses more digits than its factorization.

2429888832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 263 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 2429888832 is about 49293.9025843968. The cubic root of 2429888832 is about 1344.4009220577.

The spelling of 2429888832 in words is "two billion, four hundred twenty-nine million, eight hundred eighty-eight thousand, eight hundred thirty-two".