2516473008 has 560 divisors, whose sum is σ = 9270388800. Its totient is φ = 658409472.

The previous prime is 2516472997. The next prime is 2516473021. The reversal of 2516473008 is 8003746152.

2516473008 is a `hidden beast` number, since 2 + 5 + 1 + 647 + 3 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 68012766 + ... + 68012802.

Almost surely, 2^2516473008 is an apocalyptic number.

2516473008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516473008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635194400).

2516473008 is an abundant number, since it is smaller than the sum of its proper divisors (6753915792).

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

2516473008 is an equidigital number, since it uses as much as digits as its factorization.

2516473008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2516473008 is about 50164.4596103656. The cubic root of 2516473008 is about 1360.1832596184.

The spelling of 2516473008 in words is "two billion, five hundred sixteen million, four hundred seventy-three thousand, eight".