2768940288 has 252 divisors, whose sum is σ = 8531997348. Its totient is φ = 895795200.

The previous prime is 2768940277. The next prime is 2768940299. The reversal of 2768940288 is 8820498672.

2768940288 is a `hidden beast` number, since 276 + 8 + 94 + 0 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (2768940277) and next prime (2768940299).

It can be written as a sum of positive squares in 2 ways, for example, as 2642782464 + 126157824 = 51408^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6904888 + ... + 6905288.

Almost surely, 2^2768940288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265998674).

2768940288 is an abundant number, since it is smaller than the sum of its proper divisors (5763057060).

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

2768940288 is an frugal number, since it uses more digits than its factorization.

2768940288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2768940288 is about 52620.7210897000. The cubic root of 2768940288 is about 1404.2287595694.

The spelling of 2768940288 in words is "two billion, seven hundred sixty-eight million, nine hundred forty thousand, two hundred eighty-eight".