1808922306240 has 504 divisors, whose sum is σ = 7252903281312. Its totient is φ = 412603269120.

The previous prime is 1808922306227. The next prime is 1808922306241. The reversal of 1808922306240 is 426032298081.

1808922306240 is a `hidden beast` number, since 1 + 8 + 0 + 89 + 22 + 306 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1808922306241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68712280 + ... + 68738600.

Almost surely, 2^{1808922306240} is an apocalyptic number.

1808922306240 is a gapful number since it is divisible by the number (10) 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 1808922306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626451640656).

1808922306240 is an abundant number, since it is smaller than the sum of its proper divisors (5443980975072).

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

1808922306240 is a wasteful number, since it uses less digits than its factorization.

1808922306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26845 (or 26825 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1808922306240 in words is "one trillion, eight hundred eight billion, nine hundred twenty-two million, three hundred six thousand, two hundred forty".