2823524352 has 312 divisors, whose sum is σ = 9238137440. Its totient is φ = 851558400.

The previous prime is 2823524329. The next prime is 2823524371. The reversal of 2823524352 is 2534253282.

2823524352 is a `hidden beast` number, since 2 + 82 + 3 + 524 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13381527 + ... + 13381737.

Almost surely, 2^2823524352 is an apocalyptic number.

2823524352 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 2823524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619068720).

2823524352 is an abundant number, since it is smaller than the sum of its proper divisors (6414613088).

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

2823524352 is a wasteful number, since it uses less digits than its factorization.

2823524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 227 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2823524352 is about 53136.8455217281. The cubic root of 2823524352 is about 1413.3959609921.

It can be divided in two parts, 2823524 and 352, that added together give a triangular number (2823876 = T₂₃₇₆).

The spelling of 2823524352 in words is "two billion, eight hundred twenty-three million, five hundred twenty-four thousand, three hundred fifty-two".