2815360416 has 240 divisors, whose sum is σ = 9509844960. Its totient is φ = 808081920.

The previous prime is 2815360393. The next prime is 2815360417. The reversal of 2815360416 is 6140635182.

It is a happy number.

2815360416 is a `hidden beast` number, since 2 + 81 + 536 + 0 + 41 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2815360417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539130 + ... + 544326.

It is an arithmetic number, because the mean of its divisors is an integer number (39624354).

Almost surely, 2^2815360416 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 2815360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754922480).

2815360416 is an abundant number, since it is smaller than the sum of its proper divisors (6694484544).

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

2815360416 is a wasteful number, since it uses less digits than its factorization.

2815360416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2815360416 is about 53059.9699962222. The cubic root of 2815360416 is about 1412.0324153200.

Adding to 2815360416 its reverse (6140635182), we get a palindrome (8955995598).

The spelling of 2815360416 in words is "two billion, eight hundred fifteen million, three hundred sixty thousand, four hundred sixteen".