2773822464 has 528 divisors, whose sum is σ = 10082375680. Its totient is φ = 716636160.

The previous prime is 2773822451. The next prime is 2773822511. The reversal of 2773822464 is 4642283772.

2773822464 is a `hidden beast` number, since 27 + 7 + 382 + 246 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 37997532 + ... + 37997604.

Almost surely, 2^2773822464 is an apocalyptic number.

2773822464 is a gapful number since it is divisible by the number (24) 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 2773822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041187840).

2773822464 is an abundant number, since it is smaller than the sum of its proper divisors (7308553216).

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

2773822464 is a wasteful number, since it uses less digits than its factorization.

2773822464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 2773822464 is about 52667.0909012450. The cubic root of 2773822464 is about 1405.0535837350.

The spelling of 2773822464 in words is "two billion, seven hundred seventy-three million, eight hundred twenty-two thousand, four hundred sixty-four".