2238178320 has 240 divisors, whose sum is σ = 8621233920. Its totient is φ = 509746176.

The previous prime is 2238178307. The next prime is 2238178373. The reversal of 2238178320 is 238718322.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808742 + ... + 1809978.

It is an arithmetic number, because the mean of its divisors is an integer number (35921808).

Almost surely, 2^2238178320 is an apocalyptic number.

2238178320 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 2238178320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310616960).

2238178320 is an abundant number, since it is smaller than the sum of its proper divisors (6383055600).

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

2238178320 is a wasteful number, since it uses less digits than its factorization.

2238178320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2238178320 is about 47309.3893429201. The cubic root of 2238178320 is about 1308.0717352571.

The spelling of 2238178320 in words is "two billion, two hundred thirty-eight million, one hundred seventy-eight thousand, three hundred twenty".