2248089120 has 384 divisors, whose sum is σ = 8436960000. Its totient is φ = 557383680.

The previous prime is 2248089119. The next prime is 2248089127. The reversal of 2248089120 is 219808422.

2248089120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2248089127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5006656 + ... + 5007104.

It is an arithmetic number, because the mean of its divisors is an integer number (21971250).

Almost surely, 2^2248089120 is an apocalyptic number.

2248089120 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 2248089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480000).

2248089120 is an abundant number, since it is smaller than the sum of its proper divisors (6188870880).

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

2248089120 is a wasteful number, since it uses less digits than its factorization.

2248089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2248089120 is about 47414.0181802808. The cubic root of 2248089120 is about 1309.9996348308. Note that the first 3 decimals are identical.

The spelling of 2248089120 in words is "two billion, two hundred forty-eight million, eighty-nine thousand, one hundred twenty".