2244267648 has 480 divisors, whose sum is σ = 8184227040. Its totient is φ = 597860352.

The previous prime is 2244267647. The next prime is 2244267659. The reversal of 2244267648 is 8467624422.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2244267647) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20974411 + ... + 20974517.

It is an arithmetic number, because the mean of its divisors is an integer number (17050473).

Almost surely, 2^2244267648 is an apocalyptic number.

2244267648 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 2244267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092113520).

2244267648 is an abundant number, since it is smaller than the sum of its proper divisors (5939959392).

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

2244267648 is a wasteful number, since it uses less digits than its factorization.

2244267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 2244267648 is about 47373.7020719302. The cubic root of 2244267648 is about 1309.2569350034.

The spelling of 2244267648 in words is "two billion, two hundred forty-four million, two hundred sixty-seven thousand, six hundred forty-eight".