2214524448 has 240 divisors, whose sum is σ = 7137872280. Its totient is φ = 670408704.

The previous prime is 2214524443. The next prime is 2214524489. The reversal of 2214524448 is 8444254122.

It can be written as a sum of positive squares in 4 ways, for example, as 2067339024 + 147185424 = 45468^2 + 12132^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2214524443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1276990 + ... + 1278722.

Almost surely, 2^2214524448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214524448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568936140).

2214524448 is an abundant number, since it is smaller than the sum of its proper divisors (4923347832).

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

2214524448 is a wasteful number, since it uses less digits than its factorization.

2214524448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1784 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

The square root of 2214524448 is about 47058.7340246208. The cubic root of 2214524448 is about 1303.4473488356.

The spelling of 2214524448 in words is "two billion, two hundred fourteen million, five hundred twenty-four thousand, four hundred forty-eight".