2248920960 has 256 divisors, whose sum is σ = 8422686720. Its totient is φ = 503193600.

The previous prime is 2248920931. The next prime is 2248920967. The reversal of 2248920960 is 690298422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248920967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270465 + ... + 278655.

It is an arithmetic number, because the mean of its divisors is an integer number (32901120).

Almost surely, 2^2248920960 is an apocalyptic number.

2248920960 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 2248920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211343360).

2248920960 is an abundant number, since it is smaller than the sum of its proper divisors (6173765760).

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

2248920960 is a wasteful number, since it uses less digits than its factorization.

2248920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2248920960 is about 47422.7894582341. The cubic root of 2248920960 is about 1310.1611906619.

The spelling of 2248920960 in words is "two billion, two hundred forty-eight million, nine hundred twenty thousand, nine hundred sixty".