2300518428516 has 567 divisors, whose sum is σ = 7570186243347. Its totient is φ = 588618787680.

The previous prime is 2300518428451. The next prime is 2300518428539. The reversal of 2300518428516 is 6158248150032.

The square root of 2300518428516 is 1516746.

It is a perfect power (a square), and thus also a powerful number.

2300518428516 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 51 + 84 + 2 + 8 + 516 = 666.

2300518428516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 34336095915 + ... + 34336095981.

Almost surely, 2^{2300518428516} is an apocalyptic number.

2300518428516 is the 1516746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300518428516

2300518428516 is an abundant number, since it is smaller than the sum of its proper divisors (5269667814831).

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

2300518428516 is an frugal number, since it uses more digits than its factorization.

2300518428516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2300518428516 in words is "two trillion, three hundred billion, five hundred eighteen million, four hundred twenty-eight thousand, five hundred sixteen".