2916725760 has 440 divisors, whose sum is σ = 11276693736. Its totient is φ = 716636160.

The previous prime is 2916725743. The next prime is 2916725789. The reversal of 2916725760 is 675276192.

2916725760 is a `hidden beast` number, since 2 + 9 + 1 + 6 + 72 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 2900468736 = 4032^2 + 53856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391090 + ... + 5391630.

Almost surely, 2^2916725760 is an apocalyptic number.

2916725760 is a gapful number since it is divisible by the number (20) 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 2916725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638346868).

2916725760 is an abundant number, since it is smaller than the sum of its proper divisors (8359967976).

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

2916725760 is a wasteful number, since it uses less digits than its factorization.

2916725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2916725760 is about 54006.7195819187. The cubic root of 2916725760 is about 1428.7794628847.

The spelling of 2916725760 in words is "two billion, nine hundred sixteen million, seven hundred twenty-five thousand, seven hundred sixty".