2768429540 has 24 divisors (see below), whose sum is σ = 5970830712. Its totient is φ = 1077442560.

The previous prime is 2768429533. The next prime is 2768429557. The reversal of 2768429540 is 459248672.

It can be written as a sum of positive squares in 4 ways, for example, as 672987364 + 2095442176 = 25942^2 + 45776^2 .

It is a super-2 number, since 2×2768429540² = 15328404235889223200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1869821 + ... + 1871300.

It is an arithmetic number, because the mean of its divisors is an integer number (248784613).

Almost surely, 2^2768429540 is an apocalyptic number.

2768429540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768429540 is an abundant number, since it is smaller than the sum of its proper divisors (3202401172).

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

2768429540 is a wasteful number, since it uses less digits than its factorization.

2768429540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741167 (or 3741165 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2768429540 is about 52615.8677586904. The cubic root of 2768429540 is about 1404.1424147277.

The spelling of 2768429540 in words is "two billion, seven hundred sixty-eight million, four hundred twenty-nine thousand, five hundred forty".