2822743560 has 256 divisors, whose sum is σ = 10568194560. Its totient is φ = 587243520.

The previous prime is 2822743519. The next prime is 2822743577. The reversal of 2822743560 is 653472282.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795390 + ... + 798930.

It is an arithmetic number, because the mean of its divisors is an integer number (41282010).

Almost surely, 2^2822743560 is an apocalyptic number.

2822743560 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 2822743560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284097280).

2822743560 is an abundant number, since it is smaller than the sum of its proper divisors (7745451000).

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

2822743560 is a wasteful number, since it uses less digits than its factorization.

2822743560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2822743560 is about 53129.4980213440. The cubic root of 2822743560 is about 1413.2656663838.

The spelling of 2822743560 in words is "two billion, eight hundred twenty-two million, seven hundred forty-three thousand, five hundred sixty".