2812647552 has 512 divisors, whose sum is σ = 9771632640. Its totient is φ = 702873600.

The previous prime is 2812647527. The next prime is 2812647571. The reversal of 2812647552 is 2557462182.

Its product of digits (268800) is a multiple of the sum of its prime divisors (200).

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, 21470527 + ... + 21470657.

It is an arithmetic number, because the mean of its divisors is an integer number (19085220).

Almost surely, 2^2812647552 is an apocalyptic number.

2812647552 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 2812647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885816320).

2812647552 is an abundant number, since it is smaller than the sum of its proper divisors (6958985088).

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

2812647552 is a wasteful number, since it uses less digits than its factorization.

2812647552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 2812647552 is about 53034.3997043428. The cubic root of 2812647552 is about 1411.5787276451.

The spelling of 2812647552 in words is "two billion, eight hundred twelve million, six hundred forty-seven thousand, five hundred fifty-two".