2740947760 has 40 divisors (see below), whose sum is σ = 6592457520. Its totient is φ = 1058572032.

The previous prime is 2740947751. The next prime is 2740947767. The reversal of 2740947760 is 677490472.

2740947760 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 (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2740947760.

It is not an unprimeable number, because it can be changed into a prime (2740947767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588402 + ... + 593041.

It is an arithmetic number, because the mean of its divisors is an integer number (164811438).

Almost surely, 2^2740947760 is an apocalyptic number.

2740947760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2740947760 is an abundant number, since it is smaller than the sum of its proper divisors (3851509760).

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

2740947760 is a wasteful number, since it uses less digits than its factorization.

2740947760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181485 (or 1181479 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 2740947760 is about 52354.0615425394. The cubic root of 2740947760 is about 1399.4807189793.

The spelling of 2740947760 in words is "two billion, seven hundred forty million, nine hundred forty-seven thousand, seven hundred sixty".