2715007680 has 1008 divisors, whose sum is σ = 12477719520. Its totient is φ = 553512960.

The previous prime is 2715007667. The next prime is 2715007727. The reversal of 2715007680 is 867005172.

2715007680 is a `hidden beast` number, since 2 + 7 + 1 + 500 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226534 + ... + 51226586.

It is an arithmetic number, because the mean of its divisors is an integer number (12378690).

Almost surely, 2^2715007680 is an apocalyptic number.

2715007680 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 2715007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238859760).

2715007680 is an abundant number, since it is smaller than the sum of its proper divisors (9762711840).

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

2715007680 is a wasteful number, since it uses less digits than its factorization.

2715007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2715007680 is about 52105.7355768057. The cubic root of 2715007680 is about 1395.0518653395.

The spelling of 2715007680 in words is "two billion, seven hundred fifteen million, seven thousand, six hundred eighty".