2714107680 has 288 divisors, whose sum is σ = 9689621760. Its totient is φ = 690923520.

The previous prime is 2714107667. The next prime is 2714107703. The reversal of 2714107680 is 867014172.

2714107680 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4300965 + ... + 4301595.

It is an arithmetic number, because the mean of its divisors is an integer number (33644520).

Almost surely, 2^2714107680 is an apocalyptic number.

2714107680 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 2714107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844810880).

2714107680 is an abundant number, since it is smaller than the sum of its proper divisors (6975514080).

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

2714107680 is a wasteful number, since it uses less digits than its factorization.

2714107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2714107680 is about 52097.0985756405. The cubic root of 2714107680 is about 1394.8976993621.

The spelling of 2714107680 in words is "two billion, seven hundred fourteen million, one hundred seven thousand, six hundred eighty".