2247730560 has 384 divisors, whose sum is σ = 8186724000. Its totient is φ = 589234176.

The previous prime is 2247730549. The next prime is 2247730561. The reversal of 2247730560 is 650377422.

It is a happy number.

2247730560 is a `hidden beast` number, since 2 + 24 + 7 + 73 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247730561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15085366 + ... + 15085514.

Almost surely, 2^2247730560 is an apocalyptic number.

2247730560 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 2247730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093362000).

2247730560 is an abundant number, since it is smaller than the sum of its proper divisors (5938993440).

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

2247730560 is an equidigital number, since it uses as much as digits as its factorization.

2247730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2247730560 is about 47410.2368692670. The cubic root of 2247730560 is about 1309.9299847979.

The spelling of 2247730560 in words is "two billion, two hundred forty-seven million, seven hundred thirty thousand, five hundred sixty".