2400034432 has 128 divisors (see below), whose sum is σ = 5319075600. Its totient is φ = 1073479680.

The previous prime is 2400034423. The next prime is 2400034451. The reversal of 2400034432 is 2344300042.

It can be written as a sum of positive squares in 8 ways, for example, as 1399957056 + 1000077376 = 37416^2 + 31624^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4606332 + ... + 4606852.

Almost surely, 2^2400034432 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 2400034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659537800).

2400034432 is an abundant number, since it is smaller than the sum of its proper divisors (2919041168).

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

2400034432 is a wasteful number, since it uses less digits than its factorization.

2400034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2400034432 is about 48990.1462745316. The cubic root of 2400034432 is about 1338.8723028880.

Adding to 2400034432 its reverse (2344300042), we get a palindrome (4744334474).

The spelling of 2400034432 in words is "two billion, four hundred million, thirty-four thousand, four hundred thirty-two".