2316400416 has 432 divisors, whose sum is σ = 8034979680. Its totient is φ = 649451520.

The previous prime is 2316400393. The next prime is 2316400421. The reversal of 2316400416 is 6140046132.

2316400416 is a `hidden beast` number, since 2 + 3 + 1 + 640 + 0 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2316400416.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39260995 + ... + 39261053.

It is an arithmetic number, because the mean of its divisors is an integer number (18599490).

Almost surely, 2^2316400416 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 2316400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017489840).

2316400416 is an abundant number, since it is smaller than the sum of its proper divisors (5718579264).

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

2316400416 is an equidigital number, since it uses as much as digits as its factorization.

2316400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2316400416 is about 48128.9976625319. The cubic root of 2316400416 is about 1323.1361792351.

Adding to 2316400416 its reverse (6140046132), we get a palindrome (8456446548).

The spelling of 2316400416 in words is "two billion, three hundred sixteen million, four hundred thousand, four hundred sixteen".