2766448620 has 384 divisors, whose sum is σ = 9754214400. Its totient is φ = 646216704.

The previous prime is 2766448567. The next prime is 2766448627. The reversal of 2766448620 is 268446672.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2766448627) 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 127 ways as a sum of consecutive naturals, for example, 21782997 + ... + 21783123.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2^2766448620 is an apocalyptic number.

2766448620 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 2766448620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877107200).

2766448620 is an abundant number, since it is smaller than the sum of its proper divisors (6987765780).

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

2766448620 is a wasteful number, since it uses less digits than its factorization.

2766448620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2766448620 is about 52597.0400307850. The cubic root of 2766448620 is about 1403.8074284790.

The spelling of 2766448620 in words is "two billion, seven hundred sixty-six million, four hundred forty-eight thousand, six hundred twenty".