2772812800 has 132 divisors (see below), whose sum is σ = 6956156340. Its totient is φ = 1095761920.

The previous prime is 2772812743. The next prime is 2772812827. The reversal of 2772812800 is 82182772.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 403849216 + 2368963584 = 20096^2 + 48672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2772812800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2277792 + ... + 2279008.

Almost surely, 2^2772812800 is an apocalyptic number.

2772812800 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 2772812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478078170).

2772812800 is an abundant number, since it is smaller than the sum of its proper divisors (4183343540).

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

2772812800 is a wasteful number, since it uses less digits than its factorization.

2772812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 2772812800 is about 52657.5046883158. The cubic root of 2772812800 is about 1404.8830844570.

The spelling of 2772812800 in words is "two billion, seven hundred seventy-two million, eight hundred twelve thousand, eight hundred".