2201921280 has 576 divisors, whose sum is σ = 8756496000. Its totient is φ = 523321344.

The previous prime is 2201921279. The next prime is 2201921303. The reversal of 2201921280 is 821291022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 75928306 + ... + 75928334.

It is an arithmetic number, because the mean of its divisors is an integer number (15202250).

Almost surely, 2^2201921280 is an apocalyptic number.

2201921280 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 2201921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378248000).

2201921280 is an abundant number, since it is smaller than the sum of its proper divisors (6554574720).

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

2201921280 is an equidigital number, since it uses as much as digits as its factorization.

2201921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2201921280 is about 46924.6340422597. The cubic root of 2201921280 is about 1300.9699428028.

The spelling of 2201921280 in words is "two billion, two hundred one million, nine hundred twenty-one thousand, two hundred eighty".