2945160000 has 490 divisors, whose sum is σ = 11057961882. Its totient is φ = 777600000.

The previous prime is 2945159981. The next prime is 2945160059. The reversal of 2945160000 is 615492.

2945160000 is a `hidden beast` number, since 2 + 9 + 4 + 51 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 412252416 + 2532907584 = 20304^2 + 50328^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 29159950 + ... + 29160050.

Almost surely, 2^2945160000 is an apocalyptic number.

2945160000 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 2945160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528980941).

2945160000 is an abundant number, since it is smaller than the sum of its proper divisors (8112801882).

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

2945160000 is an frugal number, since it uses more digits than its factorization.

2945160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2945160000 is about 54269.3283540528. The cubic root of 2945160000 is about 1433.4073635221.

Adding to 2945160000 its reverse (615492), we get a palindrome (2945775492).

The spelling of 2945160000 in words is "two billion, nine hundred forty-five million, one hundred sixty thousand".