2718716640 has 48 divisors (see below), whose sum is σ = 8563958928. Its totient is φ = 724990976.

The previous prime is 2718716629. The next prime is 2718716657. The reversal of 2718716640 is 466178172.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2718716640² = 14782840337225779200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2718716592 and 2718716601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2831517 + ... + 2832476.

It is an arithmetic number, because the mean of its divisors is an integer number (178415811).

Almost surely, 2^2718716640 is an apocalyptic number.

2718716640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2718716640 is an abundant number, since it is smaller than the sum of its proper divisors (5845242288).

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

2718716640 is a wasteful number, since it uses less digits than its factorization.

2718716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664011 (or 5664003 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2718716640 is about 52141.3141376395. The cubic root of 2718716640 is about 1395.6868343483.

The spelling of 2718716640 in words is "two billion, seven hundred eighteen million, seven hundred sixteen thousand, six hundred forty".