2752856064 has 360 divisors, whose sum is σ = 9562721280. Its totient is φ = 780337152.

The previous prime is 2752856011. The next prime is 2752856137. The reversal of 2752856064 is 4606582572.

2752856064 is a `hidden beast` number, since 2 + 7 + 5 + 28 + 560 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21675969 + ... + 21676095.

Almost surely, 2^2752856064 is an apocalyptic number.

2752856064 is a gapful number since it is divisible by the number (24) 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 2752856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781360640).

2752856064 is an abundant number, since it is smaller than the sum of its proper divisors (6809865216).

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

2752856064 is an equidigital number, since it uses as much as digits as its factorization.

2752856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2752856064 is about 52467.6668434951. Note that the first 3 decimals coincide. The cubic root of 2752856064 is about 1401.5045159198.

The spelling of 2752856064 in words is "two billion, seven hundred fifty-two million, eight hundred fifty-six thousand, sixty-four".