2826850320 has 640 divisors, whose sum is σ = 11869716480. Its totient is φ = 604661760.

The previous prime is 2826850291. The next prime is 2826850333. The reversal of 2826850320 is 230586282.

2826850320 is a `hidden beast` number, since 28 + 268 + 50 + 320 = 666.

It is a super-4 number, since 4×2826850320⁴ (a number of 39 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17342559 + ... + 17342721.

It is an arithmetic number, because the mean of its divisors is an integer number (18546432).

Almost surely, 2^2826850320 is an apocalyptic number.

2826850320 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 2826850320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934858240).

2826850320 is an abundant number, since it is smaller than the sum of its proper divisors (9042866160).

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

2826850320 is a wasteful number, since it uses less digits than its factorization.

2826850320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2826850320 is about 53168.1325607737. The cubic root of 2826850320 is about 1413.9507127311.

The spelling of 2826850320 in words is "two billion, eight hundred twenty-six million, eight hundred fifty thousand, three hundred twenty".