2768005140 has 24 divisors (see below), whose sum is σ = 7750414560. Its totient is φ = 738134688.

The previous prime is 2768005099. The next prime is 2768005151. The reversal of 2768005140 is 415008672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23066650 + ... + 23066769.

It is an arithmetic number, because the mean of its divisors is an integer number (322933940).

Almost surely, 2^2768005140 is an apocalyptic number.

2768005140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768005140 is an abundant number, since it is smaller than the sum of its proper divisors (4982409420).

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

2768005140 is a wasteful number, since it uses less digits than its factorization.

2768005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46133431 (or 46133429 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2768005140 is about 52611.8346002114. The cubic root of 2768005140 is about 1404.0706594255.

The spelling of 2768005140 in words is "two billion, seven hundred sixty-eight million, five thousand, one hundred forty".