2740788864 has 192 divisors, whose sum is σ = 8882714880. Its totient is φ = 803635200.

The previous prime is 2740788851. The next prime is 2740788871. The reversal of 2740788864 is 4688870472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2740788864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389344 + ... + 396320.

It is an arithmetic number, because the mean of its divisors is an integer number (46264140).

Almost surely, 2^2740788864 is an apocalyptic number.

2740788864 is a gapful number since it is divisible by the number (24) 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 2740788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441357440).

2740788864 is an abundant number, since it is smaller than the sum of its proper divisors (6141926016).

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

2740788864 is a wasteful number, since it uses less digits than its factorization.

2740788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 2740788864 is about 52352.5440069535. The cubic root of 2740788864 is about 1399.4536752697.

The spelling of 2740788864 in words is "two billion, seven hundred forty million, seven hundred eighty-eight thousand, eight hundred sixty-four".