2241665280 has 216 divisors, whose sum is σ = 8044300992. Its totient is φ = 597694464.

The previous prime is 2241665269. The next prime is 2241665317. The reversal of 2241665280 is 825661422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

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, 307437 + ... + 314643.

Almost surely, 2^2241665280 is an apocalyptic number.

2241665280 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 2241665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022150496).

2241665280 is an abundant number, since it is smaller than the sum of its proper divisors (5802635712).

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

2241665280 is an frugal number, since it uses more digits than its factorization.

2241665280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2241665280 is about 47346.2277272435. The cubic root of 2241665280 is about 1308.7506843126.

The spelling of 2241665280 in words is "two billion, two hundred forty-one million, six hundred sixty-five thousand, two hundred eighty".