2824874912160 has 576 divisors, whose sum is σ = 11675097907200. Its totient is φ = 607181930496.

The previous prime is 2824874912147. The next prime is 2824874912161. The reversal of 2824874912160 is 612194784282.

2824874912160 is a `hidden beast` number, since 2 + 82 + 487 + 4 + 9 + 1 + 21 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2824874912097 and 2824874912106.

It is not an unprimeable number, because it can be changed into a prime (2824874912161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219162996 + ... + 219175884.

It is an arithmetic number, because the mean of its divisors is an integer number (20269267200).

Almost surely, 2^{2824874912160} is an apocalyptic number.

2824874912160 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 2824874912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837548953600).

2824874912160 is an abundant number, since it is smaller than the sum of its proper divisors (8850222995040).

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

2824874912160 is a wasteful number, since it uses less digits than its factorization.

2824874912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14213 (or 14202 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2824874912160 in words is "two trillion, eight hundred twenty-four billion, eight hundred seventy-four million, nine hundred twelve thousand, one hundred sixty".