2854258160 has 80 divisors (see below), whose sum is σ = 7184540160. Its totient is φ = 1048289280.

The previous prime is 2854258139. The next prime is 2854258189. The reversal of 2854258160 is 618524582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191456 + ... + 205824.

It is an arithmetic number, because the mean of its divisors is an integer number (89806752).

Almost surely, 2^2854258160 is an apocalyptic number.

2854258160 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 2854258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592270080).

2854258160 is an abundant number, since it is smaller than the sum of its proper divisors (4330282000).

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

2854258160 is a wasteful number, since it uses less digits than its factorization.

2854258160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 2854258160 is about 53425.2576970856. The cubic root of 2854258160 is about 1418.5056951303.

The spelling of 2854258160 in words is "two billion, eight hundred fifty-four million, two hundred fifty-eight thousand, one hundred sixty".