2853896960 has 72 divisors (see below), whose sum is σ = 7071790320. Its totient is φ = 1102180352.

The previous prime is 2853896951. The next prime is 2853896993. The reversal of 2853896960 is 696983582.

It is a junction number, because it is equal to n+sod(n) for n = 2853896896 and 2853896905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322 + ... + 75561.

It is an arithmetic number, because the mean of its divisors is an integer number (98219310).

Almost surely, 2^2853896960 is an apocalyptic number.

2853896960 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 2853896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535895160).

2853896960 is an abundant number, since it is smaller than the sum of its proper divisors (4217893360).

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

2853896960 is an equidigital number, since it uses as much as digits as its factorization.

2853896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76933 (or 76919 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The square root of 2853896960 is about 53421.8771665691. The cubic root of 2853896960 is about 1418.4458563628.

The spelling of 2853896960 in words is "two billion, eight hundred fifty-three million, eight hundred ninety-six thousand, nine hundred sixty".