2815008840 has 576 divisors, whose sum is σ = 11556043200. Its totient is φ = 590478336.

The previous prime is 2815008829. The next prime is 2815008841. The reversal of 2815008840 is 488005182.

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

It is a junction number, because it is equal to n+sod(n) for n = 2815008795 and 2815008804.

It is not an unprimeable number, because it can be changed into a prime (2815008841) 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 143 ways as a sum of consecutive naturals, for example, 12400807 + ... + 12401033.

It is an arithmetic number, because the mean of its divisors is an integer number (20062575).

Almost surely, 2^2815008840 is an apocalyptic number.

2815008840 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 2815008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778021600).

2815008840 is an abundant number, since it is smaller than the sum of its proper divisors (8741034360).

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

2815008840 is a wasteful number, since it uses less digits than its factorization.

2815008840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2815008840 is about 53056.6568867659. The cubic root of 2815008840 is about 1411.9736357084.

The spelling of 2815008840 in words is "two billion, eight hundred fifteen million, eight thousand, eight hundred forty".