2566273105920 has 304 divisors, whose sum is σ = 8305461053280. Its totient is φ = 676558012416.

The previous prime is 2566273105871. The next prime is 2566273105931. The reversal of 2566273105920 is 295013726652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2566273105920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349958574 + ... + 349965906.

It is an arithmetic number, because the mean of its divisors is an integer number (27320595570).

Almost surely, 2^{2566273105920} is an apocalyptic number.

2566273105920 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 2566273105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152730526640).

2566273105920 is an abundant number, since it is smaller than the sum of its proper divisors (5739187947360).

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

2566273105920 is an frugal number, since it uses more digits than its factorization.

2566273105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 2566273105920 in words is "two trillion, five hundred sixty-six billion, two hundred seventy-three million, one hundred five thousand, nine hundred twenty".