2773405824 has 256 divisors, whose sum is σ = 8817500160. Its totient is φ = 755712000.

The previous prime is 2773405819. The next prime is 2773405829. The reversal of 2773405824 is 4285043772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2773405819) and next prime (2773405829).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2773405829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6916024 + ... + 6916424.

It is an arithmetic number, because the mean of its divisors is an integer number (34443360).

Almost surely, 2^2773405824 is an apocalyptic number.

2773405824 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 2773405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408750080).

2773405824 is an abundant number, since it is smaller than the sum of its proper divisors (6044094336).

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

2773405824 is a wasteful number, since it uses less digits than its factorization.

2773405824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2773405824 is about 52663.1353415271. The cubic root of 2773405824 is about 1404.9832318596.

The spelling of 2773405824 in words is "two billion, seven hundred seventy-three million, four hundred five thousand, eight hundred twenty-four".