2853999120 has 480 divisors, whose sum is σ = 11083754880. Its totient is φ = 603832320.

The previous prime is 2853999119. The next prime is 2853999157. The reversal of 2853999120 is 219993582.

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 2853999120.

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 95 ways as a sum of consecutive naturals, for example, 11842200 + ... + 11842440.

It is an arithmetic number, because the mean of its divisors is an integer number (23091156).

Almost surely, 2^2853999120 is an apocalyptic number.

2853999120 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 2853999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541877440).

2853999120 is an abundant number, since it is smaller than the sum of its proper divisors (8229755760).

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

2853999120 is a wasteful number, since it uses less digits than its factorization.

2853999120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 2853999120 is about 53422.8333205943. The cubic root of 2853999120 is about 1418.4627813723.

The spelling of 2853999120 in words is "two billion, eight hundred fifty-three million, nine hundred ninety-nine thousand, one hundred twenty".