2855335680 has 216 divisors, whose sum is σ = 10048998960. Its totient is φ = 748339200.

The previous prime is 2855335669. The next prime is 2855335687. The reversal of 2855335680 is 865335582.

2855335680 is a `hidden beast` number, since 2 + 8 + 55 + 33 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2855335687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677580 + ... + 681780.

Almost surely, 2^2855335680 is an apocalyptic number.

2855335680 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 2855335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024499480).

2855335680 is an abundant number, since it is smaller than the sum of its proper divisors (7193663280).

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

2855335680 is a wasteful number, since it uses less digits than its factorization.

2855335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 2855335680 is about 53435.3411142850. The cubic root of 2855335680 is about 1418.6841741924.

The spelling of 2855335680 in words is "two billion, eight hundred fifty-five million, three hundred thirty-five thousand, six hundred eighty".