2434132320 has 384 divisors, whose sum is σ = 8439137280. Its totient is φ = 587980800.

The previous prime is 2434132291. The next prime is 2434132333. The reversal of 2434132320 is 232314342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24100270 + ... + 24100370.

It is an arithmetic number, because the mean of its divisors is an integer number (21976920).

Almost surely, 2^2434132320 is an apocalyptic number.

2434132320 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 2434132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219568640).

2434132320 is an abundant number, since it is smaller than the sum of its proper divisors (6005004960).

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

2434132320 is a wasteful number, since it uses less digits than its factorization.

2434132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2434132320 is about 49336.9265358109. The cubic root of 2434132320 is about 1345.1830746315.

Adding to 2434132320 its reverse (232314342), we get a palindrome (2666446662).

The spelling of 2434132320 in words is "two billion, four hundred thirty-four million, one hundred thirty-two thousand, three hundred twenty".