2772206800 has 240 divisors, whose sum is σ = 7563515904. Its totient is φ = 975744000.

The previous prime is 2772206797. The next prime is 2772206803. The reversal of 2772206800 is 86022772.

It is an interprime number because it is at equal distance from previous prime (2772206797) and next prime (2772206803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772206803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21828337 + ... + 21828463.

Almost surely, 2^2772206800 is an apocalyptic number.

2772206800 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 2772206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781757952).

2772206800 is an abundant number, since it is smaller than the sum of its proper divisors (4791309104).

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

2772206800 is a wasteful number, since it uses less digits than its factorization.

2772206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2772206800 is about 52651.7502083264. The cubic root of 2772206800 is about 1404.7807309698.

The spelling of 2772206800 in words is "two billion, seven hundred seventy-two million, two hundred six thousand, eight hundred".