2715647616 has 288 divisors, whose sum is σ = 8848344960. Its totient is φ = 792806400.

The previous prime is 2715647611. The next prime is 2715647617. The reversal of 2715647616 is 6167465172.

2715647616 is a `hidden beast` number, since 2 + 7 + 1 + 564 + 76 + 16 = 666.

2715647616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (423360) is a multiple of the sum of its prime divisors (270).

It is not an unprimeable number, because it can be changed into a prime (2715647611) 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, 12177681 + ... + 12177903.

It is an arithmetic number, because the mean of its divisors is an integer number (30723420).

Almost surely, 2^2715647616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2715647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424172480).

2715647616 is an abundant number, since it is smaller than the sum of its proper divisors (6132697344).

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

2715647616 is a wasteful number, since it uses less digits than its factorization.

2715647616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 270 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2715647616 is about 52111.8759593243. The cubic root of 2715647616 is about 1395.1614627924.

The spelling of 2715647616 in words is "two billion, seven hundred fifteen million, six hundred forty-seven thousand, six hundred sixteen".