2913286160 has 80 divisors (see below), whose sum is σ = 7027050240. Its totient is φ = 1122401280.

The previous prime is 2913286133. The next prime is 2913286177. The reversal of 2913286160 is 616823192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253499 + ... + 264741.

It is an arithmetic number, because the mean of its divisors is an integer number (87838128).

Almost surely, 2^2913286160 is an apocalyptic number.

2913286160 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 2913286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513525120).

2913286160 is an abundant number, since it is smaller than the sum of its proper divisors (4113764080).

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

2913286160 is a wasteful number, since it uses less digits than its factorization.

2913286160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2913286160 is about 53974.8660026127. The cubic root of 2913286160 is about 1428.2176042207.

The spelling of 2913286160 in words is "two billion, nine hundred thirteen million, two hundred eighty-six thousand, one hundred sixty".