2434434400 has 72 divisors (see below), whose sum is σ = 6043910040. Its totient is φ = 957250560.

The previous prime is 2434434383. The next prime is 2434434403. The reversal of 2434434400 is 44344342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434434403) 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 11 ways as a sum of consecutive naturals, for example, 21412 + ... + 72988.

It is an arithmetic number, because the mean of its divisors is an integer number (83943195).

Almost surely, 2^2434434400 is an apocalyptic number.

2434434400 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 2434434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021955020).

2434434400 is an abundant number, since it is smaller than the sum of its proper divisors (3609475640).

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

2434434400 is a wasteful number, since it uses less digits than its factorization.

2434434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51656 (or 51643 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2434434400 is about 49339.9878394797. The cubic root of 2434434400 is about 1345.2387188394.

Adding to 2434434400 its reverse (44344342), we get a palindrome (2478778742).

The spelling of 2434434400 in words is "two billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred".