2700967680 has 360 divisors, whose sum is σ = 9794030400. Its totient is φ = 710664192.

The previous prime is 2700967669. The next prime is 2700967681. The reversal of 2700967680 is 867690072.

It is a happy number.

2700967680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2700967681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11301001 + ... + 11301239.

It is an arithmetic number, because the mean of its divisors is an integer number (27205640).

Almost surely, 2^2700967680 is an apocalyptic number.

2700967680 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 2700967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897015200).

2700967680 is an abundant number, since it is smaller than the sum of its proper divisors (7093062720).

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

2700967680 is a wasteful number, since it uses less digits than its factorization.

2700967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2700967680 is about 51970.8348980464. The cubic root of 2700967680 is about 1392.6429847578.

The spelling of 2700967680 in words is "two billion, seven hundred million, nine hundred sixty-seven thousand, six hundred eighty".