2248189440 has 640 divisors, whose sum is σ = 9050849280. Its totient is φ = 464486400.

The previous prime is 2248189397. The next prime is 2248189451. The reversal of 2248189440 is 449818422.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2248189392 and 2248189401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31664605 + ... + 31664675.

It is an arithmetic number, because the mean of its divisors is an integer number (14141952).

Almost surely, 2^2248189440 is an apocalyptic number.

2248189440 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 2248189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525424640).

2248189440 is an abundant number, since it is smaller than the sum of its proper divisors (6802659840).

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

2248189440 is a wasteful number, since it uses less digits than its factorization.

2248189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2248189440 is about 47415.0760834568. The cubic root of 2248189440 is about 1310.0191205958.

The spelling of 2248189440 in words is "two billion, two hundred forty-eight million, one hundred eighty-nine thousand, four hundred forty".