2700528768 has 384 divisors, whose sum is σ = 9544262400. Its totient is φ = 748984320.

The previous prime is 2700528757. The next prime is 2700528781. The reversal of 2700528768 is 8678250072.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6265513 + ... + 6265943.

It is an arithmetic number, because the mean of its divisors is an integer number (24854850).

Almost surely, 2^2700528768 is an apocalyptic number.

2700528768 is a gapful number since it is divisible by the number (28) 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 2700528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772131200).

2700528768 is an abundant number, since it is smaller than the sum of its proper divisors (6843733632).

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

2700528768 is a wasteful number, since it uses less digits than its factorization.

2700528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2700528768 is about 51966.6120504310. The cubic root of 2700528768 is about 1392.5675450262.

The spelling of 2700528768 in words is "two billion, seven hundred million, five hundred twenty-eight thousand, seven hundred sixty-eight".