2854748160 has 360 divisors, whose sum is σ = 10877917050. Its totient is φ = 692060160.

The previous prime is 2854748111. The next prime is 2854748173. The reversal of 2854748160 is 618474582.

2854748160 is a `hidden beast` number, since 2 + 8 + 547 + 48 + 1 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2569273344 + 285474816 = 50688^2 + 16896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 259522555 + ... + 259522565.

Almost surely, 2^2854748160 is an apocalyptic number.

2854748160 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 2854748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438958525).

2854748160 is an abundant number, since it is smaller than the sum of its proper divisors (8023168890).

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

2854748160 is an frugal number, since it uses more digits than its factorization.

2854748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2854748160 is about 53429.8433462049. The cubic root of 2854748160 is about 1418.5868636839.

The spelling of 2854748160 in words is "two billion, eight hundred fifty-four million, seven hundred forty-eight thousand, one hundred sixty".