2700028800 has 576 divisors, whose sum is σ = 11246601600. Its totient is φ = 604016640.

The previous prime is 2700028777. The next prime is 2700028813. The reversal of 2700028800 is 88200072.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11894287 + ... + 11894513.

It is an arithmetic number, because the mean of its divisors is an integer number (19525350).

Almost surely, 2^2700028800 is an apocalyptic number.

2700028800 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 2700028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623300800).

2700028800 is an abundant number, since it is smaller than the sum of its proper divisors (8546572800).

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

2700028800 is a wasteful number, since it uses less digits than its factorization.

2700028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2700028800 is about 51961.8013544565. The cubic root of 2700028800 is about 1392.4816010943.

Adding to 2700028800 its reverse (88200072), we get a palindrome (2788228872).

It can be divided in two parts, 27000 and 28800, that multiplied together give a 5-th power (777600000 = 60⁵).

The spelling of 2700028800 in words is "two billion, seven hundred million, twenty-eight thousand, eight hundred".