2905796160 has 448 divisors, whose sum is σ = 11158118400. Its totient is φ = 709171200.

The previous prime is 2905796123. The next prime is 2905796189. The reversal of 2905796160 is 616975092.

It is a happy number.

2905796160 is a `hidden beast` number, since 29 + 0 + 5 + 7 + 9 + 616 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5088675 + ... + 5089245.

Almost surely, 2^2905796160 is an apocalyptic number.

2905796160 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 2905796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579059200).

2905796160 is an abundant number, since it is smaller than the sum of its proper divisors (8252322240).

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

2905796160 is a wasteful number, since it uses less digits than its factorization.

2905796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2905796160 is about 53905.4372025680. The cubic root of 2905796160 is about 1426.9925808918.

The spelling of 2905796160 in words is "two billion, nine hundred five million, seven hundred ninety-six thousand, one hundred sixty".