2247580320 has 96 divisors (see below), whose sum is σ = 7089586560. Its totient is φ = 598533120.

The previous prime is 2247580297. The next prime is 2247580337. The reversal of 2247580320 is 230857422.

2247580320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399930 + ... + 405510.

It is an arithmetic number, because the mean of its divisors is an integer number (73849860).

Almost surely, 2^2247580320 is an apocalyptic number.

2247580320 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 2247580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544793280).

2247580320 is an abundant number, since it is smaller than the sum of its proper divisors (4842006240).

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

2247580320 is a wasteful number, since it uses less digits than its factorization.

2247580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6438 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2247580320 is about 47408.6523748566. The cubic root of 2247580320 is about 1309.9007985794.

The spelling of 2247580320 in words is "two billion, two hundred forty-seven million, five hundred eighty thousand, three hundred twenty".