2822856960 has 288 divisors, whose sum is σ = 11241280512. Its totient is φ = 586506240.

The previous prime is 2822856941. The next prime is 2822856997. The reversal of 2822856960 is 696582282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290907 + ... + 300453.

It is an arithmetic number, because the mean of its divisors is an integer number (39032224).

Almost surely, 2^2822856960 is an apocalyptic number.

2822856960 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 2822856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620640256).

2822856960 is an abundant number, since it is smaller than the sum of its proper divisors (8418423552).

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

2822856960 is a wasteful number, since it uses less digits than its factorization.

2822856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2822856960 is about 53130.5652143848. The cubic root of 2822856960 is about 1413.2845914918.

The spelling of 2822856960 in words is "two billion, eight hundred twenty-two million, eight hundred fifty-six thousand, nine hundred sixty".