2850109440 has 288 divisors, whose sum is σ = 9660727440. Its totient is φ = 717225984.

The previous prime is 2850109417. The next prime is 2850109499. The reversal of 2850109440 is 449010582.

It is a super-2 number, since 2×2850109440² = 16246247639954227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11089792 + ... + 11090048.

Almost surely, 2^2850109440 is an apocalyptic number.

2850109440 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 2850109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830363720).

2850109440 is an abundant number, since it is smaller than the sum of its proper divisors (6810618000).

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

2850109440 is a wasteful number, since it uses less digits than its factorization.

2850109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2850109440 is about 53386.4162498289. The cubic root of 2850109440 is about 1417.8180866246.

The spelling of 2850109440 in words is "two billion, eight hundred fifty million, one hundred nine thousand, four hundred forty".