2855813760 has 224 divisors, whose sum is σ = 10237759380. Its totient is φ = 761425920.

The previous prime is 2855813743. The next prime is 2855813813. The reversal of 2855813760 is 673185582.

2855813760 is a `hidden beast` number, since 2 + 8 + 5 + 581 + 3 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2620620864 + 235192896 = 51192^2 + 15336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 463500 + ... + 469620.

Almost surely, 2^2855813760 is an apocalyptic number.

2855813760 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 2855813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118879690).

2855813760 is an abundant number, since it is smaller than the sum of its proper divisors (7381945620).

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

2855813760 is an frugal number, since it uses more digits than its factorization.

2855813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2855813760 is about 53439.8143709351. The cubic root of 2855813760 is about 1418.7633483837.

The spelling of 2855813760 in words is "two billion, eight hundred fifty-five million, eight hundred thirteen thousand, seven hundred sixty".