2238948901800 has 768 divisors, whose sum is σ = 8527029235200. Its totient is φ = 536465203200.

The previous prime is 2238948901793. The next prime is 2238948901801. The reversal of 2238948901800 is 81098498322.

2238948901800 is a `hidden beast` number, since 2 + 2 + 3 + 89 + 489 + 0 + 1 + 80 + 0 = 666.

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 (2238948901801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2524180957 + ... + 2524181843.

It is an arithmetic number, because the mean of its divisors is an integer number (11102902650).

Almost surely, 2^{2238948901800} is an apocalyptic number.

2238948901800 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 2238948901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263514617600).

2238948901800 is an abundant number, since it is smaller than the sum of its proper divisors (6288080333400).

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

2238948901800 is a wasteful number, since it uses less digits than its factorization.

2238948901800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 2238948901800 in words is "two trillion, two hundred thirty-eight billion, nine hundred forty-eight million, nine hundred one thousand, eight hundred".