2432716416 has 160 divisors (see below), whose sum is σ = 7797058500. Its totient is φ = 748486656.

The previous prime is 2432716387. The next prime is 2432716421. The reversal of 2432716416 is 6146172342.

2432716416 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 7 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2432462400 + 254016 = 49320^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125760 + ... + 143808.

Almost surely, 2^2432716416 is an apocalyptic number.

2432716416 is a gapful number since it is divisible by the number (26) 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 2432716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898529250).

2432716416 is an abundant number, since it is smaller than the sum of its proper divisors (5364342084).

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

2432716416 is a wasteful number, since it uses less digits than its factorization.

2432716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18088 (or 18067 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2432716416 is about 49322.5751152553. The cubic root of 2432716416 is about 1344.9221987123.

Adding to 2432716416 its reverse (6146172342), we get a palindrome (8578888758).

The spelling of 2432716416 in words is "two billion, four hundred thirty-two million, seven hundred sixteen thousand, four hundred sixteen".