2238919200 has 432 divisors, whose sum is σ = 9320403456. Its totient is φ = 494899200.

The previous prime is 2238919073. The next prime is 2238919229. The reversal of 2238919200 is 29198322.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1561684 + ... + 1563116.

It is an arithmetic number, because the mean of its divisors is an integer number (21575008).

Almost surely, 2^2238919200 is an apocalyptic number.

2238919200 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 2238919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660201728).

2238919200 is an abundant number, since it is smaller than the sum of its proper divisors (7081484256).

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

2238919200 is a wasteful number, since it uses less digits than its factorization.

2238919200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2238919200 is about 47317.2188531828. The cubic root of 2238919200 is about 1308.2160516215.

The spelling of 2238919200 in words is "two billion, two hundred thirty-eight million, nine hundred nineteen thousand, two hundred".