2764479456 has 120 divisors (see below), whose sum is σ = 8268515640. Its totient is φ = 905824512.

The previous prime is 2764479451. The next prime is 2764479479. The reversal of 2764479456 is 6549744672.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764479451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143890 + ... + 161966.

It is an arithmetic number, because the mean of its divisors is an integer number (68904297).

Almost surely, 2^2764479456 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 2764479456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134257820).

2764479456 is an abundant number, since it is smaller than the sum of its proper divisors (5504036184).

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

2764479456 is a wasteful number, since it uses less digits than its factorization.

2764479456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158 (or 18141 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 2764479456 is about 52578.3173561117. The cubic root of 2764479456 is about 1403.4742717168.

The spelling of 2764479456 in words is "two billion, seven hundred sixty-four million, four hundred seventy-nine thousand, four hundred fifty-six".