2261441675760 has 320 divisors, whose sum is σ = 7577180743680. Its totient is φ = 556230062080.

The previous prime is 2261441675749. The next prime is 2261441675803. The reversal of 2261441675760 is 675761441622.

It is a super-3 number, since 3×2261441675760³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 131417077 + ... + 131434283.

It is an arithmetic number, because the mean of its divisors is an integer number (23678689824).

Almost surely, 2^{2261441675760} is an apocalyptic number.

2261441675760 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 2261441675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788590371840).

2261441675760 is an abundant number, since it is smaller than the sum of its proper divisors (5315739067920).

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

2261441675760 is a wasteful number, since it uses less digits than its factorization.

2261441675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18096 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 2261441675760 in words is "two trillion, two hundred sixty-one billion, four hundred forty-one million, six hundred seventy-five thousand, seven hundred sixty".