2826772200 has 288 divisors, whose sum is σ = 11200949760. Its totient is φ = 625190400.

The previous prime is 2826772199. The next prime is 2826772229. The reversal of 2826772200 is 22776282.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386982 + ... + 394218.

Almost surely, 2^2826772200 is an apocalyptic number.

2826772200 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 2826772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600474880).

2826772200 is an abundant number, since it is smaller than the sum of its proper divisors (8374177560).

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

2826772200 is a wasteful number, since it uses less digits than its factorization.

2826772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2826772200 is about 53167.3979051072. The cubic root of 2826772200 is about 1413.9376877699.

The spelling of 2826772200 in words is "two billion, eight hundred twenty-six million, seven hundred seventy-two thousand, two hundred".