2045102605216 has 96 divisors (see below), whose sum is σ = 4653850759488. Its totient is φ = 874316451840.

The previous prime is 2045102605193. The next prime is 2045102605219. The reversal of 2045102605216 is 6125062015402.

It is a super-2 number, since 2×2045102605216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2045102605219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8759046 + ... + 8989498.

It is an arithmetic number, because the mean of its divisors is an integer number (48477612078).

Almost surely, 2^{2045102605216} 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 2045102605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326925379744).

2045102605216 is an abundant number, since it is smaller than the sum of its proper divisors (2608748154272).

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

2045102605216 is a wasteful number, since it uses less digits than its factorization.

2045102605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231974 (or 231966 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 2045102605216 in words is "two trillion, forty-five billion, one hundred two million, six hundred five thousand, two hundred sixteen".