2952282816 has 336 divisors, whose sum is σ = 10260397056. Its totient is φ = 824131584.

The previous prime is 2952282803. The next prime is 2952282821. The reversal of 2952282816 is 6182822592.

2952282816 is a `hidden beast` number, since 295 + 2 + 282 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5116320 + ... + 5116896.

It is an arithmetic number, because the mean of its divisors is an integer number (30536896).

Almost surely, 2^2952282816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130198528).

2952282816 is an abundant number, since it is smaller than the sum of its proper divisors (7308114240).

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

2952282816 is an equidigital number, since it uses as much as digits as its factorization.

2952282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2952282816 is about 54334.9134166974. The cubic root of 2952282816 is about 1434.5619897708.

The spelling of 2952282816 in words is "two billion, nine hundred fifty-two million, two hundred eighty-two thousand, eight hundred sixteen".