2245967744 has 64 divisors (see below), whose sum is σ = 4594590000. Its totient is φ = 1093005312.

The previous prime is 2245967743. The next prime is 2245967761. The reversal of 2245967744 is 4477695422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2245967744² = 10088742214176899072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2245967692 and 2245967701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245967743) 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 7 ways as a sum of consecutive naturals, for example, 2140532 + ... + 2141580.

Almost surely, 2^2245967744 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 2245967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297295000).

2245967744 is an abundant number, since it is smaller than the sum of its proper divisors (2348622256).

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

2245967744 is a wasteful number, since it uses less digits than its factorization.

2245967744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1483 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 2245967744 is about 47391.6421323423. The cubic root of 2245967744 is about 1309.5874512359.

The spelling of 2245967744 in words is "two billion, two hundred forty-five million, nine hundred sixty-seven thousand, seven hundred forty-four".