2822603840 has 168 divisors, whose sum is σ = 8279389080. Its totient is φ = 910737408.

The previous prime is 2822603827. The next prime is 2822603851. The reversal of 2822603840 is 483062282.

It can be written as a sum of positive squares in 4 ways, for example, as 191324224 + 2631279616 = 13832^2 + 51296^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2822603840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261266 + ... + 271854.

Almost surely, 2^2822603840 is an apocalyptic number.

2822603840 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 2822603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139694540).

2822603840 is an abundant number, since it is smaller than the sum of its proper divisors (5456785240).

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

2822603840 is a wasteful number, since it uses less digits than its factorization.

2822603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2822603840 is about 53128.1831046385. The cubic root of 2822603840 is about 1413.2423480845.

The spelling of 2822603840 in words is "two billion, eight hundred twenty-two million, six hundred three thousand, eight hundred forty".