2516126976 has 216 divisors, whose sum is σ = 8209472544. Its totient is φ = 762255360.

The previous prime is 2516126969. The next prime is 2516126981. The reversal of 2516126976 is 6796216152.

2516126976 is a `hidden beast` number, since 2 + 516 + 1 + 2 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682450 + ... + 686126.

Almost surely, 2^2516126976 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 2516126976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104736272).

2516126976 is an abundant number, since it is smaller than the sum of its proper divisors (5693345568).

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

2516126976 is an equidigital number, since it uses as much as digits as its factorization.

2516126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3693 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2516126976 is about 50161.0105161369. The cubic root of 2516126976 is about 1360.1209119719.

The spelling of 2516126976 in words is "two billion, five hundred sixteen million, one hundred twenty-six thousand, nine hundred seventy-six".