2916416448 has 224 divisors, whose sum is σ = 9489277440. Its totient is φ = 870912000.

The previous prime is 2916416423. The next prime is 2916416467. The reversal of 2916416448 is 8446146192.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348488 + ... + 1350648.

Almost surely, 2^2916416448 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 2916416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744638720).

2916416448 is an abundant number, since it is smaller than the sum of its proper divisors (6572860992).

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

2916416448 is a wasteful number, since it uses less digits than its factorization.

2916416448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2248 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2916416448 is about 54003.8558623363. The cubic root of 2916416448 is about 1428.7289548501.

The spelling of 2916416448 in words is "two billion, nine hundred sixteen million, four hundred sixteen thousand, four hundred forty-eight".