2400114432 has 72 divisors (see below), whose sum is σ = 6447724416. Its totient is φ = 792534016.

The previous prime is 2400114419. The next prime is 2400114433. The reversal of 2400114432 is 2344110042.

It is a junction number, because it is equal to n+sod(n) for n = 2400114399 and 2400114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400114433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67573 + ... + 96779.

It is an arithmetic number, because the mean of its divisors is an integer number (89551728).

Almost surely, 2^2400114432 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 2400114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223862208).

2400114432 is an abundant number, since it is smaller than the sum of its proper divisors (4047609984).

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

2400114432 is a wasteful number, since it uses less digits than its factorization.

2400114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29333 (or 29319 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2400114432 is about 48990.9627584517. The cubic root of 2400114432 is about 1338.8871788682.

Adding to 2400114432 its reverse (2344110042), we get a palindrome (4744224474).

The spelling of 2400114432 in words is "two billion, four hundred million, one hundred fourteen thousand, four hundred thirty-two".