2850345960 has 256 divisors, whose sum is σ = 10712217600. Its totient is φ = 589440000.

The previous prime is 2850345941. The next prime is 2850345977. The reversal of 2850345960 is 695430582.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 2318626 + ... + 2319854.

It is an arithmetic number, because the mean of its divisors is an integer number (41844600).

Almost surely, 2^2850345960 is an apocalyptic number.

2850345960 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 2850345960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356108800).

2850345960 is an abundant number, since it is smaller than the sum of its proper divisors (7861871640).

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

2850345960 is a wasteful number, since it uses less digits than its factorization.

2850345960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2850345960 is about 53388.6313741044. The cubic root of 2850345960 is about 1417.8573053593.

The spelling of 2850345960 in words is "two billion, eight hundred fifty million, three hundred forty-five thousand, nine hundred sixty".