2707447680 has 448 divisors, whose sum is σ = 11104005600. Its totient is φ = 618098688.

The previous prime is 2707447679. The next prime is 2707447681. The reversal of 2707447680 is 867447072.

It is an interprime number because it is at equal distance from previous prime (2707447679) and next prime (2707447681).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2707447681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265506 + ... + 3266334.

Almost surely, 2^2707447680 is an apocalyptic number.

2707447680 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 2707447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552002800).

2707447680 is an abundant number, since it is smaller than the sum of its proper divisors (8396557920).

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

2707447680 is an frugal number, since it uses more digits than its factorization.

2707447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2707447680 is about 52033.1402089092. The cubic root of 2707447680 is about 1393.7558105223.

The spelling of 2707447680 in words is "two billion, seven hundred seven million, four hundred forty-seven thousand, six hundred eighty".