2853856900 has 72 divisors (see below), whose sum is σ = 6417200384. Its totient is φ = 1100476800.

The previous prime is 2853856871. The next prime is 2853856913. The reversal of 2853856900 is 96583582.

It is a super-2 number, since 2×2853856900² = 16288998411355220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 875674 + ... + 878926.

Almost surely, 2^2853856900 is an apocalyptic number.

2853856900 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 2853856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208600192).

2853856900 is an abundant number, since it is smaller than the sum of its proper divisors (3563343484).

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

2853856900 is a wasteful number, since it uses less digits than its factorization.

2853856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The square root of 2853856900 is about 53421.5022252276. The cubic root of 2853856900 is about 1418.4392194487.

The spelling of 2853856900 in words is "two billion, eight hundred fifty-three million, eight hundred fifty-six thousand, nine hundred".