2516987563200 has 1344 divisors, whose sum is σ = 10505493319680. Its totient is φ = 580608000000.

The previous prime is 2516987563163. The next prime is 2516987563241. The reversal of 2516987563200 is 23657896152.

2516987563200 is a `hidden beast` number, since 2 + 51 + 6 + 9 + 8 + 7 + 563 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 898601800 + ... + 898604600.

Almost surely, 2^{2516987563200} is an apocalyptic number.

2516987563200 is a gapful number since it is divisible by the number (20) 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 2516987563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252746659840).

2516987563200 is an abundant number, since it is smaller than the sum of its proper divisors (7988505756480).

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

2516987563200 is a wasteful number, since it uses less digits than its factorization.

2516987563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2516987563200 in words is "two trillion, five hundred sixteen billion, nine hundred eighty-seven million, five hundred sixty-three thousand, two hundred".