2516306416 has 40 divisors (see below), whose sum is σ = 5253882480. Its totient is φ = 1160595456.

The previous prime is 2516306411. The next prime is 2516306461. The reversal of 2516306416 is 6146036152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516306411) 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 7 ways as a sum of consecutive naturals, for example, 408576 + ... + 414688.

It is an arithmetic number, because the mean of its divisors is an integer number (131347062).

Almost surely, 2^2516306416 is an apocalyptic number.

2516306416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2516306416 is an abundant number, since it is smaller than the sum of its proper divisors (2737576064).

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

2516306416 is a wasteful number, since it uses less digits than its factorization.

2516306416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2516306416 is about 50162.7991244508. The cubic root of 2516306416 is about 1360.1532439776.

The spelling of 2516306416 in words is "two billion, five hundred sixteen million, three hundred six thousand, four hundred sixteen".