2850805440 has 336 divisors, whose sum is σ = 11483035200. Its totient is φ = 635535360.

The previous prime is 2850805423. The next prime is 2850805501. The reversal of 2850805440 is 445080582.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2850805395 and 2850805404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824836 + ... + 828284.

It is an arithmetic number, because the mean of its divisors is an integer number (34175700).

Almost surely, 2^2850805440 is an apocalyptic number.

2850805440 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 2850805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741517600).

2850805440 is an abundant number, since it is smaller than the sum of its proper divisors (8632229760).

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

2850805440 is a wasteful number, since it uses less digits than its factorization.

2850805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2850805440 is about 53392.9343640149. The cubic root of 2850805440 is about 1417.9334881667.

The spelling of 2850805440 in words is "two billion, eight hundred fifty million, eight hundred five thousand, four hundred forty".