2854906560 has 1120 divisors, whose sum is σ = 12746004480. Its totient is φ = 597196800.

The previous prime is 2854906513. The next prime is 2854906631. The reversal of 2854906560 is 656094582.

2854906560 is a `hidden beast` number, since 2 + 85 + 4 + 9 + 0 + 6 + 560 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 92093745 + ... + 92093775.

Almost surely, 2^2854906560 is an apocalyptic number.

2854906560 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 2854906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373002240).

2854906560 is an abundant number, since it is smaller than the sum of its proper divisors (9891097920).

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

2854906560 is a wasteful number, since it uses less digits than its factorization.

2854906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2854906560 is about 53431.3256432966. The cubic root of 2854906560 is about 1418.6131006747.

The spelling of 2854906560 in words is "two billion, eight hundred fifty-four million, nine hundred six thousand, five hundred sixty".