2912864160 has 192 divisors, whose sum is σ = 9970974720. Its totient is φ = 712074240.

The previous prime is 2912864159. The next prime is 2912864209. The reversal of 2912864160 is 614682192.

It is a super-2 number, since 2×2912864160² = 16969555229225011200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277569 + ... + 287871.

It is an arithmetic number, because the mean of its divisors is an integer number (51932160).

Almost surely, 2^2912864160 is an apocalyptic number.

2912864160 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 2912864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985487360).

2912864160 is an abundant number, since it is smaller than the sum of its proper divisors (7058110560).

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

2912864160 is a wasteful number, since it uses less digits than its factorization.

2912864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10363 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2912864160 is about 53970.9566341009. The cubic root of 2912864160 is about 1428.1486400682.

The spelling of 2912864160 in words is "two billion, nine hundred twelve million, eight hundred sixty-four thousand, one hundred sixty".