2516000406 has 64 divisors (see below), whose sum is σ = 5550612480. Its totient is φ = 756756000.

The previous prime is 2516000371. The next prime is 2516000413. The reversal of 2516000406 is 6040006152.

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 31 ways as a sum of consecutive naturals, for example, 656211 + ... + 660033.

It is an arithmetic number, because the mean of its divisors is an integer number (86728320).

Almost surely, 2^2516000406 is an apocalyptic number.

2516000406 is an abundant number, since it is smaller than the sum of its proper divisors (3034612074).

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

2516000406 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2516000405) it forms an eRAP, since the sums of their prime factors are consecutive (4120 and 4121).

2516000406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2516000406 is about 50159.7488630077. The cubic root of 2516000406 is about 1360.0981053075.

Adding to 2516000406 its reverse (6040006152), we get a palindrome (8556006558).

The spelling of 2516000406 in words is "two billion, five hundred sixteen million, four hundred six", and thus it is an aban number.