2516415006 has 32 divisors (see below), whose sum is σ = 5765131008. Its totient is φ = 717310080.

The previous prime is 2516414963. The next prime is 2516415007. The reversal of 2516415006 is 6005146152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516415007) 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 15 ways as a sum of consecutive naturals, for example, 51000 + ... + 87371.

It is an arithmetic number, because the mean of its divisors is an integer number (180160344).

Almost surely, 2^2516415006 is an apocalyptic number.

2516415006 is an abundant number, since it is smaller than the sum of its proper divisors (3248716002).

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

2516415006 is a wasteful number, since it uses less digits than its factorization.

2516415006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138816.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2516415006 is about 50163.8814885770. The cubic root of 2516415006 is about 1360.1728092837.

The spelling of 2516415006 in words is "two billion, five hundred sixteen million, four hundred fifteen thousand, six".