2516000405 has 16 divisors (see below), whose sum is σ = 3037610160. Its totient is φ = 2000560128.

The previous prime is 2516000371. The next prime is 2516000413. The reversal of 2516000405 is 5040006152.

It can be written as a sum of positive squares in 8 ways, for example, as 200562244 + 2315438161 = 14162^2 + 48119^2 .

It is a cyclic number.

It is not a de Polignac number, because 2516000405 - 2⁶ = 2516000341 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 782441 + ... + 785649.

It is an arithmetic number, because the mean of its divisors is an integer number (189850635).

Almost surely, 2^2516000405 is an apocalyptic number.

It is an amenable number.

2516000405 is a deficient number, since it is larger than the sum of its proper divisors (521609755).

2516000405 is a wasteful number, since it uses less digits than its factorization.

With its successor (2516000406) it forms an eRAP, since the sums of their prime factors are consecutive (4120 and 4121).

2516000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2516000405 is about 50159.7488530395. The cubic root of 2516000405 is about 1360.0981051273.

Adding to 2516000405 its reverse (5040006152), we get a palindrome (7556006557).

The spelling of 2516000405 in words is "two billion, five hundred sixteen million, four hundred five", and thus it is an aban number.