2248450560 has 240 divisors, whose sum is σ = 8127497664. Its totient is φ = 573382656.

The previous prime is 2248450543. The next prime is 2248450571. The reversal of 2248450560 is 650548422.

It is a happy number.

2248450560 is a `hidden beast` number, since 2 + 2 + 48 + 4 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 23 ways as a sum of consecutive naturals, for example, 527799 + ... + 532041.

Almost surely, 2^2248450560 is an apocalyptic number.

2248450560 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 2248450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063748832).

2248450560 is an abundant number, since it is smaller than the sum of its proper divisors (5879047104).

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

2248450560 is a wasteful number, since it uses less digits than its factorization.

2248450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2248450560 is about 47417.8295580892. The cubic root of 2248450560 is about 1310.0698368068.

Adding to 2248450560 its reverse (650548422), we get a palindrome (2898998982).

The spelling of 2248450560 in words is "two billion, two hundred forty-eight million, four hundred fifty thousand, five hundred sixty".