2516135268 has 48 divisors (see below), whose sum is σ = 6193152000. Its totient is φ = 792875808.

The previous prime is 2516135267. The next prime is 2516135291. The reversal of 2516135268 is 8625316152.

It is not an unprimeable number, because it can be changed into a prime (2516135261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97693 + ... + 120731.

It is an arithmetic number, because the mean of its divisors is an integer number (129024000).

Almost surely, 2^2516135268 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 2516135268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096576000).

2516135268 is an abundant number, since it is smaller than the sum of its proper divisors (3677016732).

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

2516135268 is a wasteful number, since it uses less digits than its factorization.

2516135268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23544 (or 23542 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 2516135268 is about 50161.0931699061. The cubic root of 2516135268 is about 1360.1224060818.

The spelling of 2516135268 in words is "two billion, five hundred sixteen million, one hundred thirty-five thousand, two hundred sixty-eight".