2516266363800 has 192 divisors, whose sum is σ = 8919564825600. Its totient is φ = 574837401600.

The previous prime is 2516266363757. The next prime is 2516266363841. The reversal of 2516266363800 is 83636626152.

2516266363800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2516266363800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7698096 + ... + 8018304.

It is an arithmetic number, because the mean of its divisors is an integer number (46456066800).

Almost surely, 2^{2516266363800} is an apocalyptic number.

2516266363800 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 2516266363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459782412800).

2516266363800 is an abundant number, since it is smaller than the sum of its proper divisors (6403298461800).

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

2516266363800 is a wasteful number, since it uses less digits than its factorization.

2516266363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322106 (or 322097 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 2516266363800 in words is "two trillion, five hundred sixteen billion, two hundred sixty-six million, three hundred sixty-three thousand, eight hundred".