2851234560 has 576 divisors, whose sum is σ = 11231861760. Its totient is φ = 681246720.

The previous prime is 2851234553. The next prime is 2851234571. The reversal of 2851234560 is 654321582.

2851234560 is a `hidden beast` number, since 2 + 85 + 12 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2851234560² = 16259077032276787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 13512855 + ... + 13513065.

It is an arithmetic number, because the mean of its divisors is an integer number (19499760).

Almost surely, 2^2851234560 is an apocalyptic number.

2851234560 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 2851234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615930880).

2851234560 is an abundant number, since it is smaller than the sum of its proper divisors (8380627200).

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

2851234560 is a wasteful number, since it uses less digits than its factorization.

2851234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2851234560 is about 53396.9527220421. The cubic root of 2851234560 is about 1418.0046298263.

The spelling of 2851234560 in words is "two billion, eight hundred fifty-one million, two hundred thirty-four thousand, five hundred sixty".