2516113224000 has 168 divisors, whose sum is σ = 9000556612008. Its totient is φ = 670963507200.

The previous prime is 2516113223983. The next prime is 2516113224011. The reversal of 2516113224000 is 4223116152.

2516113224000 is a `hidden beast` number, since 2 + 5 + 1 + 611 + 3 + 2 + 2 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 676986675264 + 1839126548736 = 822792^2 + 1356144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17401009 + ... + 17545008.

Almost surely, 2^{2516113224000} is an apocalyptic number.

2516113224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516113224000 is an abundant number, since it is smaller than the sum of its proper divisors (6484443388008).

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

2516113224000 is a wasteful number, since it uses less digits than its factorization.

2516113224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34946050 (or 34946027 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 2516113224000 in words is "two trillion, five hundred sixteen billion, one hundred thirteen million, two hundred twenty-four thousand".