2772801024 has 320 divisors, whose sum is σ = 9100608000. Its totient is φ = 747823104.

The previous prime is 2772801023. The next prime is 2772801029. The reversal of 2772801024 is 4201082772.

Together with 6327806975 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772801023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10009974 + ... + 10010250.

It is an arithmetic number, because the mean of its divisors is an integer number (28439400).

Almost surely, 2^2772801024 is an apocalyptic number.

2772801024 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 2772801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550304000).

2772801024 is an abundant number, since it is smaller than the sum of its proper divisors (6327806976).

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

2772801024 is an equidigital number, since it uses as much as digits as its factorization.

2772801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 2772801024 is about 52657.3928712769. The cubic root of 2772801024 is about 1404.8810956310.

Adding to 2772801024 its reverse (4201082772), we get a palindrome (6973883796).

The spelling of 2772801024 in words is "two billion, seven hundred seventy-two million, eight hundred one thousand, twenty-four".