2812042656 has 144 divisors (see below), whose sum is σ = 8394763104. Its totient is φ = 925841664.

The previous prime is 2812042633. The next prime is 2812042669. The reversal of 2812042656 is 6562402182.

It is a happy number.

2812042656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2812042656.

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, 643230 + ... + 647586.

It is an arithmetic number, because the mean of its divisors is an integer number (58296966).

Almost surely, 2^2812042656 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 2812042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197381552).

2812042656 is an abundant number, since it is smaller than the sum of its proper divisors (5582720448).

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

2812042656 is an equidigital number, since it uses as much as digits as its factorization.

2812042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2812042656 is about 53028.6965331037. The cubic root of 2812042656 is about 1411.4775276750.

The spelling of 2812042656 in words is "two billion, eight hundred twelve million, forty-two thousand, six hundred fifty-six".