2224107648 has 432 divisors, whose sum is σ = 7880557230. Its totient is φ = 599961600.

The previous prime is 2224107647. The next prime is 2224107667. The reversal of 2224107648 is 8467014222.

2224107648 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 1 + 0 + 7 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2196984384 + 27123264 = 46872^2 + 5208^2 .

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 (2224107647) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54246508 + ... + 54246548.

Almost surely, 2^2224107648 is an apocalyptic number.

2224107648 is a gapful number since it is divisible by the number (28) 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 2224107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940278615).

2224107648 is an abundant number, since it is smaller than the sum of its proper divisors (5656449582).

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

2224107648 is a wasteful number, since it uses less digits than its factorization.

2224107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2224107648 is about 47160.4457994197. The cubic root of 2224107648 is about 1305.3248356820.

The spelling of 2224107648 in words is "two billion, two hundred twenty-four million, one hundred seven thousand, six hundred forty-eight".