2717066880 has 768 divisors, whose sum is σ = 11246601600. Its totient is φ = 597196800.

The previous prime is 2717066873. The next prime is 2717066921. The reversal of 2717066880 is 886607172.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44542050 + ... + 44542110.

Almost surely, 2^2717066880 is an apocalyptic number.

2717066880 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 2717066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623300800).

2717066880 is an abundant number, since it is smaller than the sum of its proper divisors (8529534720).

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

2717066880 is a wasteful number, since it uses less digits than its factorization.

2717066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2717066880 is about 52125.4916523576. The cubic root of 2717066880 is about 1395.4044689882.

It can be divided in two parts, 2717066 and 880, that added together give a triangular number (2717946 = T₂₃₃₁).

The spelling of 2717066880 in words is "two billion, seven hundred seventeen million, sixty-six thousand, eight hundred eighty".