2679288768 has 336 divisors, whose sum is σ = 8840272896. Its totient is φ = 769443840.

The previous prime is 2679288767. The next prime is 2679288803. The reversal of 2679288768 is 8678829762.

Its product of digits (32514048) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679288767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8094363 + ... + 8094693.

It is an arithmetic number, because the mean of its divisors is an integer number (26310336).

Almost surely, 2^2679288768 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 2679288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420136448).

2679288768 is an abundant number, since it is smaller than the sum of its proper divisors (6160984128).

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

2679288768 is a wasteful number, since it uses less digits than its factorization.

2679288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 2679288768 is about 51761.8466440292. The cubic root of 2679288768 is about 1388.9070247995.

The spelling of 2679288768 in words is "two billion, six hundred seventy-nine million, two hundred eighty-eight thousand, seven hundred sixty-eight".