2882169483264 has 624 divisors, whose sum is σ = 8743804692480. Its totient is φ = 914067947520.

The previous prime is 2882169483257. The next prime is 2882169483269. The reversal of 2882169483264 is 4623849612882.

2882169483264 is a `hidden beast` number, since 2 + 8 + 8 + 216 + 94 + 8 + 326 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2882169483269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10958819197 + ... + 10958819459.

It is an arithmetic number, because the mean of its divisors is an integer number (14012507520).

Almost surely, 2^{2882169483264} is an apocalyptic number.

2882169483264 is a gapful number since it is divisible by the number (24) 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 2882169483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371902346240).

2882169483264 is an abundant number, since it is smaller than the sum of its proper divisors (5861635209216).

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

2882169483264 is a wasteful number, since it uses less digits than its factorization.

2882169483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 2882169483264 in words is "two trillion, eight hundred eighty-two billion, one hundred sixty-nine million, four hundred eighty-three thousand, two hundred sixty-four".