220246266240 has 3072 divisors, whose sum is σ = 1139283532800. Its totient is φ = 39388446720.

The previous prime is 220246266221. The next prime is 220246266241. The reversal of 220246266240 is 42662642022.

220246266240 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 4 + 6 + 26 + 624 + 0 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 220246266195 and 220246266204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220246266241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2058376267 + ... + 2058376373.

It is an arithmetic number, because the mean of its divisors is an integer number (370860525).

Almost surely, 2^220246266240 is an apocalyptic number.

220246266240 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 220246266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569641766400).

220246266240 is an abundant number, since it is smaller than the sum of its proper divisors (919037266560).

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

220246266240 is a wasteful number, since it uses less digits than its factorization.

220246266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 220246266240 in words is "two hundred twenty billion, two hundred forty-six million, two hundred sixty-six thousand, two hundred forty".