2768415240 has 64 divisors (see below), whose sum is σ = 8666352000. Its totient is φ = 706145792.

The previous prime is 2768415233. The next prime is 2768415257. The reversal of 2768415240 is 425148672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498765 + ... + 504284.

It is an arithmetic number, because the mean of its divisors is an integer number (135411750).

Almost surely, 2^2768415240 is an apocalyptic number.

2768415240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768415240 is an abundant number, since it is smaller than the sum of its proper divisors (5897936760).

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

2768415240 is a wasteful number, since it uses less digits than its factorization.

2768415240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003086 (or 1003082 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2768415240 is about 52615.7318679499. The cubic root of 2768415240 is about 1404.1399970789.

It can be divided in two parts, 27684 and 15240, that added together give a palindrome (42924).

The spelling of 2768415240 in words is "two billion, seven hundred sixty-eight million, four hundred fifteen thousand, two hundred forty".