2819069352 has 256 divisors, whose sum is σ = 8926848000. Its totient is φ = 816480000.

The previous prime is 2819069339. The next prime is 2819069369. The reversal of 2819069352 is 2539609182.

It is a super-2 number, since 2×2819069352² = 15894304022771399808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2819069298 and 2819069307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11231227 + ... + 11231477.

It is an arithmetic number, because the mean of its divisors is an integer number (34870500).

Almost surely, 2^2819069352 is an apocalyptic number.

2819069352 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 2819069352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424000).

2819069352 is an abundant number, since it is smaller than the sum of its proper divisors (6107778648).

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

2819069352 is a wasteful number, since it uses less digits than its factorization.

2819069352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2819069352 is about 53094.9089084820. The cubic root of 2819069352 is about 1412.6522104174.

The spelling of 2819069352 in words is "two billion, eight hundred nineteen million, sixty-nine thousand, three hundred fifty-two".