2852824320 has 576 divisors, whose sum is σ = 10961072640. Its totient is φ = 700710912.

The previous prime is 2852824309. The next prime is 2852824411. The reversal of 2852824320 is 234282582.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29410512 + ... + 29410608.

It is an arithmetic number, because the mean of its divisors is an integer number (19029640).

Almost surely, 2^2852824320 is an apocalyptic number.

2852824320 is a gapful number since it is divisible by the number (20) 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 2852824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480536320).

2852824320 is an abundant number, since it is smaller than the sum of its proper divisors (8108248320).

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

2852824320 is a wasteful number, since it uses less digits than its factorization.

2852824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2852824320 is about 53411.8368903373. The cubic root of 2852824320 is about 1418.2681260007.

The spelling of 2852824320 in words is "two billion, eight hundred fifty-two million, eight hundred twenty-four thousand, three hundred twenty".