2261206578220 has 144 divisors (see below), whose sum is σ = 5145726210912. Its totient is φ = 831768791040.

The previous prime is 2261206578181. The next prime is 2261206578229. The reversal of 2261206578220 is 228756021622.

It is a super-3 number, since 3×2261206578220³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2261206578229) 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 47 ways as a sum of consecutive naturals, for example, 518980282 + ... + 518984638.

It is an arithmetic number, because the mean of its divisors is an integer number (35734209798).

Almost surely, 2^{2261206578220} is an apocalyptic number.

2261206578220 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 2261206578220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572863105456).

2261206578220 is an abundant number, since it is smaller than the sum of its proper divisors (2884519632692).

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

2261206578220 is a wasteful number, since it uses less digits than its factorization.

2261206578220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 2261206578220 in words is "two trillion, two hundred sixty-one billion, two hundred six million, five hundred seventy-eight thousand, two hundred twenty".