2826222840 has 320 divisors, whose sum is σ = 11233252800. Its totient is φ = 623572992.

The previous prime is 2826222809. The next prime is 2826222853. The reversal of 2826222840 is 482226282.

2826222840 is a `hidden beast` number, since 2 + 8 + 2 + 622 + 28 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2826222795 and 2826222804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 655572 + ... + 659868.

It is an arithmetic number, because the mean of its divisors is an integer number (35103915).

Almost surely, 2^2826222840 is an apocalyptic number.

2826222840 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 2826222840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616626400).

2826222840 is an abundant number, since it is smaller than the sum of its proper divisors (8407029960).

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

2826222840 is a wasteful number, since it uses less digits than its factorization.

2826222840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2826222840 is about 53162.2313301464. The cubic root of 2826222840 is about 1413.8460861035.

The spelling of 2826222840 in words is "two billion, eight hundred twenty-six million, two hundred twenty-two thousand, eight hundred forty".