2823151104 has 320 divisors, whose sum is σ = 9095042880. Its totient is φ = 861143040.

The previous prime is 2823151057. The next prime is 2823151139. The reversal of 2823151104 is 4011513282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9635182 + ... + 9635474.

It is an arithmetic number, because the mean of its divisors is an integer number (28422009).

Almost surely, 2^2823151104 is an apocalyptic number.

2823151104 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 2823151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547521440).

2823151104 is an abundant number, since it is smaller than the sum of its proper divisors (6271891776).

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

2823151104 is a wasteful number, since it uses less digits than its factorization.

2823151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2823151104 is about 53133.3332664157. Note that the first 3 decimals coincide. The cubic root of 2823151104 is about 1413.3336782563. Note that the first 3 decimals are identical.

Adding to 2823151104 its reverse (4011513282), we get a palindrome (6834664386).

The spelling of 2823151104 in words is "two billion, eight hundred twenty-three million, one hundred fifty-one thousand, one hundred four".