2822312880 has 120 divisors (see below), whose sum is σ = 9498329568. Its totient is φ = 751024128.

The previous prime is 2822312879. The next prime is 2822312887. The reversal of 2822312880 is 882132282.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2822312880² = 15930899985227788800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2822312887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358264 + ... + 366056.

Almost surely, 2^2822312880 is an apocalyptic number.

2822312880 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 2822312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749164784).

2822312880 is an abundant number, since it is smaller than the sum of its proper divisors (6676016688).

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

2822312880 is a wasteful number, since it uses less digits than its factorization.

2822312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2822312880 is about 53125.4447510795. Note that the first 3 decimals coincide. The cubic root of 2822312880 is about 1413.1937864081.

The spelling of 2822312880 in words is "two billion, eight hundred twenty-two million, three hundred twelve thousand, eight hundred eighty".