2833217280 has 648 divisors, whose sum is σ = 11159602272. Its totient is φ = 661782528.

The previous prime is 2833217279. The next prime is 2833217287. The reversal of 2833217280 is 827123382.

It is a happy number.

2833217280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2833217287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76573422 + ... + 76573458.

Almost surely, 2^2833217280 is an apocalyptic number.

2833217280 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 2833217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579801136).

2833217280 is an abundant number, since it is smaller than the sum of its proper divisors (8326384992).

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

2833217280 is a wasteful number, since it uses less digits than its factorization.

2833217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2833217280 is about 53227.9745998286. The cubic root of 2833217280 is about 1415.0114713117.

The spelling of 2833217280 in words is "two billion, eight hundred thirty-three million, two hundred seventeen thousand, two hundred eighty".