2244464640 has 624 divisors, whose sum is σ = 9016128576. Its totient is φ = 530841600.

The previous prime is 2244464639. The next prime is 2244464641. The reversal of 2244464640 is 464644422.

2244464640 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 4 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2244464639) and next prime (2244464641).

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

It is a junction number, because it is equal to n+sod(n) for n = 2244464595 and 2244464604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244464641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54743020 + ... + 54743060.

It is an arithmetic number, because the mean of its divisors is an integer number (14448924).

Almost surely, 2^2244464640 is an apocalyptic number.

2244464640 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 2244464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508064288).

2244464640 is an abundant number, since it is smaller than the sum of its proper divisors (6771663936).

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

2244464640 is an equidigital number, since it uses as much as digits as its factorization.

2244464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 2244464640 is about 47375.7811545097. The cubic root of 2244464640 is about 1309.2952408321.

The spelling of 2244464640 in words is "two billion, two hundred forty-four million, four hundred sixty-four thousand, six hundred forty".