2850940800 has 480 divisors, whose sum is σ = 11156674320. Its totient is φ = 714424320.

The previous prime is 2850940769. The next prime is 2850940801. The reversal of 2850940800 is 80490582.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2850940801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4406077 + ... + 4406723.

Almost surely, 2^2850940800 is an apocalyptic number.

2850940800 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 2850940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578337160).

2850940800 is an abundant number, since it is smaller than the sum of its proper divisors (8305733520).

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

2850940800 is a wasteful number, since it uses less digits than its factorization.

2850940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2850940800 is about 53394.2019324196. The cubic root of 2850940800 is about 1417.9559295952.

The spelling of 2850940800 in words is "two billion, eight hundred fifty million, nine hundred forty thousand, eight hundred".