2826835200 has 1080 divisors, whose sum is σ = 12880633920. Its totient is φ = 597196800.

The previous prime is 2826835147. The next prime is 2826835201. The reversal of 2826835200 is 25386282.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (2826835201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68947180 + ... + 68947220.

Almost surely, 2^2826835200 is an apocalyptic number.

2826835200 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 2826835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440316960).

2826835200 is an abundant number, since it is smaller than the sum of its proper divisors (10053798720).

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

2826835200 is a wasteful number, since it uses less digits than its factorization.

2826835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

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

The square root of 2826835200 is about 53167.9903701466. The cubic root of 2826835200 is about 1413.9481917896.

The spelling of 2826835200 in words is "two billion, eight hundred twenty-six million, eight hundred thirty-five thousand, two hundred".