2700460800 has 324 divisors, whose sum is σ = 9746397024. Its totient is φ = 713318400.

The previous prime is 2700460793. The next prime is 2700460801. The reversal of 2700460800 is 80640072.

It is not an unprimeable number, because it can be changed into a prime (2700460801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9964665 + ... + 9964935.

Almost surely, 2^2700460800 is an apocalyptic number.

2700460800 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 2700460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873198512).

2700460800 is an abundant number, since it is smaller than the sum of its proper divisors (7045936224).

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

2700460800 is a wasteful number, since it uses less digits than its factorization.

2700460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2700460800 is about 51965.9580879637. The cubic root of 2700460800 is about 1392.5558620272. Note that the first 3 decimals are identical.

The spelling of 2700460800 in words is "two billion, seven hundred million, four hundred sixty thousand, eight hundred".