260806422240 has 768 divisors, whose sum is σ = 1127654922240. Its totient is φ = 54822666240.

The previous prime is 260806422169. The next prime is 260806422241. The reversal of 260806422240 is 42224608062.

260806422240 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 0 + 642 + 2 + 2 + 4 + 0 = 666.

260806422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 260806422195 and 260806422204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260806422241) 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 127 ways as a sum of consecutive naturals, for example, 120686760 + ... + 120688920.

It is an arithmetic number, because the mean of its divisors is an integer number (1468300680).

Almost surely, 2^260806422240 is an apocalyptic number.

260806422240 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 260806422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563827461120).

260806422240 is an abundant number, since it is smaller than the sum of its proper divisors (866848500000).

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

260806422240 is a wasteful number, since it uses less digits than its factorization.

260806422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 260806422240 in words is "two hundred sixty billion, eight hundred six million, four hundred twenty-two thousand, two hundred forty".