2238814080 has 320 divisors, whose sum is σ = 8419712400. Its totient is φ = 565346304.

The previous prime is 2238814069. The next prime is 2238814087. The reversal of 2238814080 is 804188322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238814087) 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 39 ways as a sum of consecutive naturals, for example, 983824 + ... + 986096.

Almost surely, 2^2238814080 is an apocalyptic number.

2238814080 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 2238814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209856200).

2238814080 is an abundant number, since it is smaller than the sum of its proper divisors (6180898320).

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

2238814080 is a wasteful number, since it uses less digits than its factorization.

2238814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2238814080 is about 47316.1080394404. The cubic root of 2238814080 is about 1308.1955771855.

The spelling of 2238814080 in words is "two billion, two hundred thirty-eight million, eight hundred fourteen thousand, eighty".