2700228960 has 960 divisors, whose sum is σ = 11802599424. Its totient is φ = 572313600.

The previous prime is 2700228953. The next prime is 2700229009. The reversal of 2700228960 is 698220072.

It is a super-3 number, since 3×2700228960³ (a number of 29 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57451657 + ... + 57451703.

Almost surely, 2^2700228960 is an apocalyptic number.

2700228960 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 2700228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901299712).

2700228960 is an abundant number, since it is smaller than the sum of its proper divisors (9102370464).

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

2700228960 is a wasteful number, since it uses less digits than its factorization.

2700228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2700228960 is about 51963.7273489884. The cubic root of 2700228960 is about 1392.5160096446.

The spelling of 2700228960 in words is "two billion, seven hundred million, two hundred twenty-eight thousand, nine hundred sixty".