2549300445216 has 768 divisors, whose sum is σ = 9231551078400. Its totient is φ = 668379672576.

The previous prime is 2549300445169. The next prime is 2549300445227. The reversal of 2549300445216 is 6125440039452.

2549300445216 is a `hidden beast` number, since 2 + 54 + 9 + 30 + 0 + 44 + 521 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657542670 + ... + 657546546.

It is an arithmetic number, because the mean of its divisors is an integer number (12020248800).

Almost surely, 2^{2549300445216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2549300445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615775539200).

2549300445216 is an abundant number, since it is smaller than the sum of its proper divisors (6682250633184).

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

2549300445216 is a wasteful number, since it uses less digits than its factorization.

2549300445216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2549300445216 in words is "two trillion, five hundred forty-nine billion, three hundred million, four hundred forty-five thousand, two hundred sixteen".