2815009056 has 144 divisors (see below), whose sum is σ = 8500591008. Its totient is φ = 880588800.

The previous prime is 2815009051. The next prime is 2815009063. The reversal of 2815009056 is 6509005182.

It is a happy number.

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

It is a super-2 number, since 2×2815009056² = 15848551970724022272, which contains 22 as substring.

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 2815009056.

It is not an unprimeable number, because it can be changed into a prime (2815009051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2403351 + ... + 2404521.

It is an arithmetic number, because the mean of its divisors is an integer number (59031882).

Almost surely, 2^2815009056 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 2815009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250295504).

2815009056 is an abundant number, since it is smaller than the sum of its proper divisors (5685581952).

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

2815009056 is a wasteful number, since it uses less digits than its factorization.

2815009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2815009056 is about 53056.6589223257. The cubic root of 2815009056 is about 1411.9736718228.

The spelling of 2815009056 in words is "two billion, eight hundred fifteen million, nine thousand, fifty-six".