2122721280 has 288 divisors, whose sum is σ = 7604513280. Its totient is φ = 547061760.

The previous prime is 2122721257. The next prime is 2122721351. The reversal of 2122721280 is 821272212.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2856589 + ... + 2857331.

It is an arithmetic number, because the mean of its divisors is an integer number (26404560).

Almost surely, 2^2122721280 is an apocalyptic number.

2122721280 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 2122721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802256640).

2122721280 is an abundant number, since it is smaller than the sum of its proper divisors (5481792000).

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

2122721280 is a wasteful number, since it uses less digits than its factorization.

2122721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2122721280 is about 46072.9994682352. Note that the first 3 decimals coincide. The cubic root of 2122721280 is about 1285.1810834550.

Adding to 2122721280 its reverse (821272212), we get a palindrome (2943993492).

The spelling of 2122721280 in words is "two billion, one hundred twenty-two million, seven hundred twenty-one thousand, two hundred eighty".