2768586480 has 480 divisors, whose sum is σ = 10704814848. Its totient is φ = 664899840.

The previous prime is 2768586473. The next prime is 2768586481. The reversal of 2768586480 is 846858672.

2768586480 is a `hidden beast` number, since 2 + 7 + 6 + 85 + 86 + 480 = 666.

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 (2768586481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25874587 + ... + 25874693.

Almost surely, 2^2768586480 is an apocalyptic number.

2768586480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768586480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352407424).

2768586480 is an abundant number, since it is smaller than the sum of its proper divisors (7936228368).

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

2768586480 is a wasteful number, since it uses less digits than its factorization.

2768586480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2768586480 is about 52617.3591127491. The cubic root of 2768586480 is about 1404.1689474536.

The spelling of 2768586480 in words is "two billion, seven hundred sixty-eight million, five hundred eighty-six thousand, four hundred eighty".