2715223680 has 768 divisors, whose sum is σ = 11227507200. Its totient is φ = 621084672.

The previous prime is 2715223661. The next prime is 2715223717. The reversal of 2715223680 is 863225172.

2715223680 is a `hidden beast` number, since 2 + 71 + 522 + 3 + 68 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 34369881 + ... + 34369959.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2^2715223680 is an apocalyptic number.

2715223680 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 2715223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

2715223680 is an abundant number, since it is smaller than the sum of its proper divisors (8512283520).

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

2715223680 is a wasteful number, since it uses less digits than its factorization.

2715223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2715223680 is about 52107.8082440626. The cubic root of 2715223680 is about 1395.0888601044.

The spelling of 2715223680 in words is "two billion, seven hundred fifteen million, two hundred twenty-three thousand, six hundred eighty".