2853046560 has 768 divisors, whose sum is σ = 11921817600. Its totient is φ = 568995840.

The previous prime is 2853046531. The next prime is 2853046571. The reversal of 2853046560 is 656403582.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66349899 + ... + 66349941.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2^2853046560 is an apocalyptic number.

2853046560 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 2853046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960908800).

2853046560 is an abundant number, since it is smaller than the sum of its proper divisors (9068771040).

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

2853046560 is a wasteful number, since it uses less digits than its factorization.

2853046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2853046560 is about 53413.9172875385. The cubic root of 2853046560 is about 1418.3049535663.

The spelling of 2853046560 in words is "two billion, eight hundred fifty-three million, forty-six thousand, five hundred sixty".