2205234123840 has 560 divisors, whose sum is σ = 8833618404864. Its totient is φ = 517354905600.

The previous prime is 2205234123839. The next prime is 2205234123847. The reversal of 2205234123840 is 483214325022.

2205234123840 is a `hidden beast` number, since 2 + 2 + 0 + 523 + 4 + 123 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2205234123795 and 2205234123804.

It is not an unprimeable number, because it can be changed into a prime (2205234123847) 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 79 ways as a sum of consecutive naturals, for example, 8713972 + ... + 8963468.

Almost surely, 2^{2205234123840} is an apocalyptic number.

2205234123840 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 2205234123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416809202432).

2205234123840 is an abundant number, since it is smaller than the sum of its proper divisors (6628384281024).

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

2205234123840 is a wasteful number, since it uses less digits than its factorization.

2205234123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249568 (or 249549 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2205234123840 its reverse (483214325022), we get a palindrome (2688448448862).

The spelling of 2205234123840 in words is "two trillion, two hundred five billion, two hundred thirty-four million, one hundred twenty-three thousand, eight hundred forty".