2812240512 has 256 divisors, whose sum is σ = 8636544000. Its totient is φ = 900218880.

The previous prime is 2812240507. The next prime is 2812240517. The reversal of 2812240512 is 2150422182.

2812240512 is a `hidden beast` number, since 28 + 122 + 4 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (2812240507) and next prime (2812240517).

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

It is not an unprimeable number, because it can be changed into a prime (2812240517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12610833 + ... + 12611055.

It is an arithmetic number, because the mean of its divisors is an integer number (33736500).

Almost surely, 2^2812240512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

2812240512 is an abundant number, since it is smaller than the sum of its proper divisors (5824303488).

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

2812240512 is a wasteful number, since it uses less digits than its factorization.

2812240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2812240512 is about 53030.5620562332. The cubic root of 2812240512 is about 1411.5106308651.

Adding to 2812240512 its reverse (2150422182), we get a palindrome (4962662694).

The spelling of 2812240512 in words is "two billion, eight hundred twelve million, two hundred forty thousand, five hundred twelve".