2825218110 has 384 divisors, whose sum is σ = 8880399360. Its totient is φ = 568719360.

The previous prime is 2825218079. The next prime is 2825218163. The reversal of 2825218110 is 118125282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20621962 + ... + 20622098.

It is an arithmetic number, because the mean of its divisors is an integer number (23126040).

Almost surely, 2^2825218110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825218110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440199680).

2825218110 is an abundant number, since it is smaller than the sum of its proper divisors (6055181250).

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

2825218110 is a wasteful number, since it uses less digits than its factorization.

2825218110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 2825218110 is about 53152.7808303573. The cubic root of 2825218110 is about 1413.6785241871.

The spelling of 2825218110 in words is "two billion, eight hundred twenty-five million, two hundred eighteen thousand, one hundred ten".