2760534640 has 80 divisors (see below), whose sum is σ = 6636012768. Its totient is φ = 1067286528.

The previous prime is 2760534619. The next prime is 2760534653. The reversal of 2760534640 is 464350672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2760534640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329544 + ... + 337816.

Almost surely, 2^2760534640 is an apocalyptic number.

2760534640 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 2760534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318006384).

2760534640 is an abundant number, since it is smaller than the sum of its proper divisors (3875478128).

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

2760534640 is a wasteful number, since it uses less digits than its factorization.

2760534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 2760534640 is about 52540.7902491007. The cubic root of 2760534640 is about 1402.8063842803.

The spelling of 2760534640 in words is "two billion, seven hundred sixty million, five hundred thirty-four thousand, six hundred forty".