2248985088 has 400 divisors, whose sum is σ = 7858735104. Its totient is φ = 627056640.

The previous prime is 2248985087. The next prime is 2248985107. The reversal of 2248985088 is 8805898422.

It is a happy number.

2248985088 is a `hidden beast` number, since 2 + 2 + 48 + 98 + 508 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2248985083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17708481 + ... + 17708607.

Almost surely, 2^2248985088 is an apocalyptic number.

2248985088 is a gapful number since it is divisible by the number (28) 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 2248985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929367552).

2248985088 is an abundant number, since it is smaller than the sum of its proper divisors (5609750016).

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

2248985088 is an equidigital number, since it uses as much as digits as its factorization.

2248985088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 2248985088 is about 47423.4655840334. The cubic root of 2248985088 is about 1310.1736436293.

The spelling of 2248985088 in words is "two billion, two hundred forty-eight million, nine hundred eighty-five thousand, eighty-eight".