2261756108920 has 256 divisors, whose sum is σ = 6430760709120. Its totient is φ = 695452262400.

The previous prime is 2261756108903. The next prime is 2261756108977. The reversal of 2261756108920 is 298016571622.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 79409722 + ... + 79438198.

It is an arithmetic number, because the mean of its divisors is an integer number (25120159020).

Almost surely, 2^{2261756108920} is an apocalyptic number.

2261756108920 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 2261756108920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215380354560).

2261756108920 is an abundant number, since it is smaller than the sum of its proper divisors (4169004600200).

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

2261756108920 is a wasteful number, since it uses less digits than its factorization.

2261756108920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28854 (or 28850 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 2261756108920 in words is "two trillion, two hundred sixty-one billion, seven hundred fifty-six million, one hundred eight thousand, nine hundred twenty".