2238782394240 has 768 divisors, whose sum is σ = 9116735846400. Its totient is φ = 495598141440.

The previous prime is 2238782394229. The next prime is 2238782394253. The reversal of 2238782394240 is 424932878322.

2238782394240 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 7 + 8 + 2 + 394 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229778809 + ... + 229788551.

It is an arithmetic number, because the mean of its divisors is an integer number (11870749800).

Almost surely, 2^{2238782394240} is an apocalyptic number.

2238782394240 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 2238782394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558367923200).

2238782394240 is an abundant number, since it is smaller than the sum of its proper divisors (6877953452160).

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

2238782394240 is a wasteful number, since it uses less digits than its factorization.

2238782394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2238782394240 in words is "two trillion, two hundred thirty-eight billion, seven hundred eighty-two million, three hundred ninety-four thousand, two hundred forty".