2715878730240 has 960 divisors, whose sum is σ = 10762063183872. Its totient is φ = 652138905600.

The previous prime is 2715878730223. The next prime is 2715878730259. The reversal of 2715878730240 is 420378785172.

2715878730240 is a `hidden beast` number, since 2 + 7 + 1 + 587 + 8 + 7 + 30 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331564545 + ... + 331572735.

Almost surely, 2^{2715878730240} is an apocalyptic number.

2715878730240 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 2715878730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381031591936).

2715878730240 is an abundant number, since it is smaller than the sum of its proper divisors (8046184453632).

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

2715878730240 is an equidigital number, since it uses as much as digits as its factorization.

2715878730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 2715878730240 in words is "two trillion, seven hundred fifteen billion, eight hundred seventy-eight million, seven hundred thirty thousand, two hundred forty".