2247471360 has 360 divisors, whose sum is σ = 8213630040. Its totient is φ = 586579968.

The previous prime is 2247471329. The next prime is 2247471371. The reversal of 2247471360 is 631747422.

2247471360 is a `hidden beast` number, since 224 + 7 + 4 + 71 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 888516864 + 1358954496 = 29808^2 + 36864^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2247471360² = 10102255028040499200, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 5494836 + ... + 5495244.

It is an arithmetic number, because the mean of its divisors is an integer number (22815639).

Almost surely, 2^2247471360 is an apocalyptic number.

2247471360 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 2247471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106815020).

2247471360 is an abundant number, since it is smaller than the sum of its proper divisors (5966158680).

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

2247471360 is an equidigital number, since it uses as much as digits as its factorization.

2247471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2247471360 is about 47407.5032036069. The cubic root of 2247471360 is about 1309.8796307637.

The spelling of 2247471360 in words is "two billion, two hundred forty-seven million, four hundred seventy-one thousand, three hundred sixty".