2768419440 has 60 divisors (see below), whose sum is σ = 9297277704. Its totient is φ = 738244992.

The previous prime is 2768419429. The next prime is 2768419469. The reversal of 2768419440 is 449148672.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 1921794 + ... + 1923233.

Almost surely, 2^2768419440 is an apocalyptic number.

2768419440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768419440 is an abundant number, since it is smaller than the sum of its proper divisors (6528858264).

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

2768419440 is a wasteful number, since it uses less digits than its factorization.

2768419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845046 (or 3845037 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2768419440 is about 52615.7717799521. The cubic root of 2768419440 is about 1404.1407071584.

The spelling of 2768419440 in words is "two billion, seven hundred sixty-eight million, four hundred nineteen thousand, four hundred forty".