2241550080 has 972 divisors, whose sum is σ = 10387154232. Its totient is φ = 441262080.

The previous prime is 2241550067. The next prime is 2241550093. The reversal of 2241550080 is 800551422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2241550067) and next prime (2241550093).

It is a super-2 number, since 2×2241550080² = 10049093522296012800, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 117976311 + ... + 117976329.

Almost surely, 2^2241550080 is an apocalyptic number.

2241550080 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 2241550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193577116).

2241550080 is an abundant number, since it is smaller than the sum of its proper divisors (8145604152).

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

2241550080 is a wasteful number, since it uses less digits than its factorization.

2241550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2241550080 is about 47345.0111416187. The cubic root of 2241550080 is about 1308.7282648695.

The spelling of 2241550080 in words is "two billion, two hundred forty-one million, five hundred fifty thousand, eighty".