2812752000 has 512 divisors, whose sum is σ = 10998374400. Its totient is φ = 704102400.

The previous prime is 2812751993. The next prime is 2812752011. The reversal of 2812752000 is 2572182.

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 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, 7343809 + ... + 7344191.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^2812752000 is an apocalyptic number.

2812752000 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 2812752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499187200).

2812752000 is an abundant number, since it is smaller than the sum of its proper divisors (8185622400).

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

2812752000 is a wasteful number, since it uses less digits than its factorization.

2812752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2812752000 is about 53035.3844145586. The cubic root of 2812752000 is about 1411.5962004766.

It can be divided in two parts, 281 and 2752000, that added together give a square (2752281 = 1659²).

The spelling of 2812752000 in words is "two billion, eight hundred twelve million, seven hundred fifty-two thousand".