2822126560 has 72 divisors (see below), whose sum is σ = 7328541528. Its totient is φ = 1026220800.

The previous prime is 2822126551. The next prime is 2822126597. The reversal of 2822126560 is 656212282.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53526 + ... + 92245.

It is an arithmetic number, because the mean of its divisors is an integer number (101785299).

Almost surely, 2^2822126560 is an apocalyptic number.

2822126560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2822126560 is an abundant number, since it is smaller than the sum of its proper divisors (4506414968).

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

2822126560 is a wasteful number, since it uses less digits than its factorization.

2822126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145808 (or 145789 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2822126560 is about 53123.6911368177. The cubic root of 2822126560 is about 1413.1626875573.

The spelling of 2822126560 in words is "two billion, eight hundred twenty-two million, one hundred twenty-six thousand, five hundred sixty".