2850338400 has 576 divisors, whose sum is σ = 11815243776. Its totient is φ = 580608000.

The previous prime is 2850338383. The next prime is 2850338419. The reversal of 2850338400 is 48330582.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6770190 + ... + 6770610.

It is an arithmetic number, because the mean of its divisors is an integer number (20512576).

Almost surely, 2^2850338400 is an apocalyptic number.

2850338400 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 2850338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907621888).

2850338400 is an abundant number, since it is smaller than the sum of its proper divisors (8964905376).

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

2850338400 is a wasteful number, since it uses less digits than its factorization.

2850338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2850338400 is about 53388.5605724672. The cubic root of 2850338400 is about 1417.8560518260.

Adding to 2850338400 its reverse (48330582), we get a palindrome (2898668982).

The spelling of 2850338400 in words is "two billion, eight hundred fifty million, three hundred thirty-eight thousand, four hundred".