2260943705020 has 192 divisors, whose sum is σ = 6413095213056. Its totient is φ = 646605112320.

The previous prime is 2260943704997. The next prime is 2260943705029. The reversal of 2260943705020 is 205073490622.

It is a super-2 number, since 2×2260943705020² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260943705029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3005214 + ... + 3681466.

It is an arithmetic number, because the mean of its divisors is an integer number (33401537568).

Almost surely, 2^{2260943705020} is an apocalyptic number.

2260943705020 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 2260943705020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206547606528).

2260943705020 is an abundant number, since it is smaller than the sum of its proper divisors (4152151508036).

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

2260943705020 is a wasteful number, since it uses less digits than its factorization.

2260943705020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676460 (or 676458 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 2260943705020 in words is "two trillion, two hundred sixty billion, nine hundred forty-three million, seven hundred five thousand, twenty".