2706680480 has 192 divisors, whose sum is σ = 7681443840. Its totient is φ = 881193984.

The previous prime is 2706680437. The next prime is 2706680491. The reversal of 2706680480 is 840866072.

It is a super-2 number, since 2×2706680480² = 14652238441626060800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4610747 + ... + 4611333.

It is an arithmetic number, because the mean of its divisors is an integer number (40007520).

Almost surely, 2^2706680480 is an apocalyptic number.

2706680480 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 2706680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840721920).

2706680480 is an abundant number, since it is smaller than the sum of its proper divisors (4974763360).

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

2706680480 is a wasteful number, since it uses less digits than its factorization.

2706680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 2706680480 is about 52025.7674619030. The cubic root of 2706680480 is about 1393.6241501789.

The spelling of 2706680480 in words is "two billion, seven hundred six million, six hundred eighty thousand, four hundred eighty".