2819722752 has 400 divisors, whose sum is σ = 10504720512. Its totient is φ = 731566080.

The previous prime is 2819722733. The next prime is 2819722757. The reversal of 2819722752 is 2572279182.

It is a junction number, because it is equal to n+sod(n) for n = 2819722698 and 2819722707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819722757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3192903 + ... + 3193785.

Almost surely, 2^2819722752 is an apocalyptic number.

2819722752 is a gapful number since it is divisible by the number (22) 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 2819722752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252360256).

2819722752 is an abundant number, since it is smaller than the sum of its proper divisors (7684997760).

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

2819722752 is an equidigital number, since it uses as much as digits as its factorization.

2819722752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 906 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 2819722752 is about 53101.0616843016. The cubic root of 2819722752 is about 1412.7613428456.

The spelling of 2819722752 in words is "two billion, eight hundred nineteen million, seven hundred twenty-two thousand, seven hundred fifty-two".