2045390627016 has 640 divisors, whose sum is σ = 6697506816000. Its totient is φ = 576696153600.

The previous prime is 2045390626991. The next prime is 2045390627081. The reversal of 2045390627016 is 6107260935402.

2045390627016 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 3 + 9 + 0 + 627 + 0 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1874784631 + ... + 1874785721.

It is an arithmetic number, because the mean of its divisors is an integer number (10464854400).

Almost surely, 2^{2045390627016} 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 2045390627016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348753408000).

2045390627016 is an abundant number, since it is smaller than the sum of its proper divisors (4652116188984).

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

2045390627016 is a wasteful number, since it uses less digits than its factorization.

2045390627016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2045390627016 in words is "two trillion, forty-five billion, three hundred ninety million, six hundred twenty-seven thousand, sixteen".