2853861120 has 288 divisors, whose sum is σ = 11049373440. Its totient is φ = 691752960.

The previous prime is 2853861119. The next prime is 2853861133. The reversal of 2853861120 is 211683582.

It is a happy number.

2853861120 is a `hidden beast` number, since 2 + 8 + 5 + 38 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 376407 + ... + 383913.

It is an arithmetic number, because the mean of its divisors is an integer number (38365880).

Almost surely, 2^2853861120 is an apocalyptic number.

2853861120 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 2853861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524686720).

2853861120 is an abundant number, since it is smaller than the sum of its proper divisors (8195512320).

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

2853861120 is a wasteful number, since it uses less digits than its factorization.

2853861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2853861120 is about 53421.5417224176. The cubic root of 2853861120 is about 1418.4399185973.

The spelling of 2853861120 in words is "two billion, eight hundred fifty-three million, eight hundred sixty-one thousand, one hundred twenty".