2822676480 has 672 divisors, whose sum is σ = 11449751040. Its totient is φ = 637009920.

The previous prime is 2822676469. The next prime is 2822676487. The reversal of 2822676480 is 846762282.

2822676480 is a `hidden beast` number, since 2 + 82 + 26 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822676487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91054065 + ... + 91054095.

It is an arithmetic number, because the mean of its divisors is an integer number (17038320).

Almost surely, 2^2822676480 is an apocalyptic number.

2822676480 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 2822676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724875520).

2822676480 is an abundant number, since it is smaller than the sum of its proper divisors (8627074560).

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

2822676480 is a wasteful number, since it uses less digits than its factorization.

2822676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2822676480 is about 53128.8667298673. The cubic root of 2822676480 is about 1413.2544712929.

It can be divided in two parts, 282 and 2676480, that added together give a palindrome (2676762).

The spelling of 2822676480 in words is "two billion, eight hundred twenty-two million, six hundred seventy-six thousand, four hundred eighty".