2717284416 has 448 divisors, whose sum is σ = 9519513600. Its totient is φ = 683020800.

The previous prime is 2717284379. The next prime is 2717284457. The reversal of 2717284416 is 6144827172.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2717284416² = 14767269194872922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87654321 + ... + 87654351.

Almost surely, 2^2717284416 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 2717284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759756800).

2717284416 is an abundant number, since it is smaller than the sum of its proper divisors (6802229184).

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

2717284416 is an equidigital number, since it uses as much as digits as its factorization.

2717284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2717284416 is about 52127.5782671706. The cubic root of 2717284416 is about 1395.4417079937.

The spelling of 2717284416 in words is "two billion, seven hundred seventeen million, two hundred eighty-four thousand, four hundred sixteen".